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# 10 speakers gathered to deliver speeches on two topics.

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Director
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10 speakers gathered to deliver speeches on two topics. [#permalink]

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03 May 2016, 22:30
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10 speakers gathered to deliver speeches on two topics. Even though 10 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?

A. 2
B. 20
C. 50
D. 100
E. 1024
[Reveal] Spoiler: OA

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Re: 10 speakers gathered to deliver speeches on two topics. [#permalink]

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04 May 2016, 00:43
SravnaTestPrep wrote:
10 speakers gathered to deliver speeches on two topics. Even though 10 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?

A. 2
B. 20
C. 50
D. 100
E. 1024

Hi,
the words are a bit confusing..
But What I could gather..
Quote:
Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic.

1)there are 10 speeches in ONE topic and 10 in OTHER..
2)there is a specific order for topics, so
---a) both the topicd are to be spoken on- so ONE from each
---b) the order does not matter since there is ONLY one specific order..

so $$10C1*10C1 = 10*10 = 100$$
D
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Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

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Director
Joined: 17 Dec 2012
Posts: 627
Location: India
10 speakers gathered to deliver speeches on two topics. [#permalink]

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04 May 2016, 00:53
chetan2u wrote:
SravnaTestPrep wrote:
10 speakers gathered to deliver speeches on two topics. Even though 10 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?

A. 2
B. 20
C. 50
D. 100
E. 1024

Hi,
the words are a bit confusing..
But What I could gather..
Quote:
Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic.

1)there are 10 speeches in ONE topic and 10 in OTHER..
2)there is a specific order for topics, so
---a) both the topicd are to be spoken on- so ONE from each
---b) the order does not matter since there is ONLY one specific order..

so $$10C1*10C1 = 10*10 = 100$$
D

Hi,

Some clarifications:

1. There are only 2 speeches and not 10 speeches
2. One speech is on 1 topic and the other speech is on the other topic
3. The order of the topics is fixed . So if the topics are A and B, the order may be fixed as A,B
4. The same speaker may speak on both the topics.
_________________

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Sravna
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Joined: 02 Aug 2009
Posts: 5649
Re: 10 speakers gathered to deliver speeches on two topics. [#permalink]

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04 May 2016, 00:58
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This post received
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Expert's post
SravnaTestPrep wrote:
chetan2u wrote:
SravnaTestPrep wrote:
10 speakers gathered to deliver speeches on two topics. Even though 10 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?

A. 2
B. 20
C. 50
D. 100
E. 1024

Hi,
the words are a bit confusing..
But What I could gather..
Quote:
Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic.

1)there are 10 speeches in ONE topic and 10 in OTHER..

Thanks @
2)there is a specific order for topics, so
---a) both the topicd are to be spoken on- so ONE from each
---b) the order does not matter since there is ONLY one specific order..

so $$10C1*10C1 = 10*10 = 100$$
D

Hi,

Some clarifications:

1. There are only 2 speeches and not 10 speeches
2. One speech is on 1 topic and the other speech is on the other topic
3. The order of the topics is fixed . So if the topics are A and B, the order may be fixed as A,B
4. The same speaker may speak on both the topics.

thanks SravnaTestPrep..
so 2 speeches - ONE on each topic.. But as I mentioned above that since there is a specific order, arrangement or Permutations is not required..
first speech can be spoken by any of the 10 followed by the 2nd speech by any of the 10 - so 10*10 = 100
_________________

Absolute modulus :http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html

BANGALORE/-

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Joined: 30 Nov 2016
Posts: 15
Re: 10 speakers gathered to deliver speeches on two topics. [#permalink]

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18 Dec 2016, 08:53
i think the problem is confusing
Manager
Joined: 22 Sep 2016
Posts: 211
Location: India
GMAT 1: 710 Q50 V35
GPA: 4
Re: 10 speakers gathered to deliver speeches on two topics. [#permalink]

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20 Jul 2017, 02:30
SravnaTestPrep wrote:
10 speakers gathered to deliver speeches on two topics. Even though 10 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?

A. 2
B. 20
C. 50
D. 100
E. 1024

Pathetic question. The words don't make any sense. Such question are disparaging for a newbie. For us, every question is a potential gmat question because we're on a GMAT forum!!!
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Desperately need 'KUDOS' !!

Director
Joined: 17 Dec 2012
Posts: 627
Location: India
Re: 10 speakers gathered to deliver speeches on two topics. [#permalink]

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20 Jul 2017, 04:58
rekhabishop wrote:
SravnaTestPrep wrote:
10 speakers gathered to deliver speeches on two topics. Even though 10 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?

A. 2
B. 20
C. 50
D. 100
E. 1024

Pathetic question. The words don't make any sense. Such question are disparaging for a newbie. For us, every question is a potential gmat question because we're on a GMAT forum!!!

Dear rekhabishop,

I am sorry that you did not find the question up to the mark. I will ensure that the quality of the question is always maintained. Btw, have you tried our other questions posted on the forum?
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Re: 10 speakers gathered to deliver speeches on two topics. [#permalink]

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25 Jul 2017, 10:22
SravnaTestPrep wrote:
10 speakers gathered to deliver speeches on two topics. Even though 10 speeches were initially planned to be delivered, due to lack of time only 2 speeches were finally decided to be delivered. Topics are to be spoken in a specific order and the speeches differ with respect to speaker or topic. How many such two speeches are possible?

A. 2
B. 20
C. 50
D. 100
E. 1024

The number of choices for the first speech is 10 and the number of choices for the second speech is also 10. Thus, the number of ways two speeches can be delivered is 10 x 10 = 100.

Answer: D
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10 speakers gathered to deliver speeches on two topics. [#permalink]

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31 Jul 2017, 10:08
"the speeches differ with respect to speaker or topic"

If this is the case then how can second speech be selected in 10 ways....Plz Explain SravnaTestPrep
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Director
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Re: 10 speakers gathered to deliver speeches on two topics. [#permalink]

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31 Jul 2017, 14:58
devarshi9283 wrote:
"the speeches differ with respect to speaker or topic"

If this is the case then how can second speech be selected in 10 ways....Plz Explain SravnaTestPrep

Let us say the topics are S and T. Since the order of the topics spoken is fixed, let us assume it is S first and T second. Now S can be spoken by any of the 10 speakers. Then T can be spoken by any of the 10 speakers, for a total of 10*10=100 speeches.
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Intern
Joined: 25 Jul 2011
Posts: 48
Location: India
Concentration: Strategy, Operations
GMAT 1: 740 Q49 V41
GPA: 3.5
WE: Engineering (Energy and Utilities)
10 speakers gathered to deliver speeches on two topics. [#permalink]

### Show Tags

31 Jul 2017, 22:56
SravnaTestPrep wrote:
devarshi9283 wrote:
"the speeches differ with respect to speaker or topic"

If this is the case then how can second speech be selected in 10 ways....Plz Explain SravnaTestPrep

Let us say the topics are S and T. Since the order of the topics spoken is fixed, let us assume it is S first and T second. Now S can be spoken by any of the 10 speakers. Then T can be spoken by any of the 10 speakers, for a total of 10*10=100 speeches.

But if speeches differ with respect to speaker ...If this sentence is referring to 2 speeches that are to be delivered ..then how come same speaker give a speech for second topic..
as far as i understand...the second speech may be delivered by 9 speakers only excluding the one speaker who has just finished with
first speech...

or may be "speeches differ with respect to speaker and topic" is said to indicate that all speeches are unique...in that case...this should have been told at the start of question itself...it's really confusing
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Director
Joined: 17 Dec 2012
Posts: 627
Location: India
10 speakers gathered to deliver speeches on two topics. [#permalink]

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31 Jul 2017, 23:33
devarshi9283 wrote:
SravnaTestPrep wrote:
devarshi9283 wrote:
"the speeches differ with respect to speaker or topic"

If this is the case then how can second speech be selected in 10 ways....Plz Explain SravnaTestPrep

Let us say the topics are S and T. Since the order of the topics spoken is fixed, let us assume it is S first and T second. Now S can be spoken by any of the 10 speakers. Then T can be spoken by any of the 10 speakers, for a total of 10*10=100 speeches.

But if speeches differ with respect to speaker ...If this sentence is referring to 2 speeches that are to be delivered ..then how come same speaker give a speech for second topic..
as far as i understand...the second speech may be delivered by 9 speakers only excluding the one speaker who has just finished with
first speech...

or may be "speeches differ with respect to speaker and topic" is said to indicate that all speeches are unique...in that case...this should have been told at the start of question itself...it's really confusing

The speaker who spoke on the first topic can also speak on the second topic. That I believe is implied by the sentence that speeches differ with respect to speaker or topic. So, the speaker who spoke on the first topic and also speaking on the second topic implies that the speeches differ with respect to topic.
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10 speakers gathered to deliver speeches on two topics.   [#permalink] 31 Jul 2017, 23:33
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