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Team A and Team B are competing against each other in a game

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Re: Team A and Team B are competing against each other in a game  [#permalink]

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New post 10 Jun 2018, 02:18
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pkloeti wrote:
Check the highlighted part of the stem:

Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides to lineup male, female, male, female, male, female. The lineup that Team A chooses will be one of how many different possible lineups?


So does this mean in "GMAT language" that every 1st, 3rd and 5th person in the lineup MUST be a male? If so, I get it. I guess it's about practicing GMAT language...[/quote]

Well, yes. How else? The stem directly specifies the desired line-up: it should start with a male and then alternate females and males.
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Re: Team A and Team B are competing against each other in a game  [#permalink]

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New post 10 Jun 2018, 02:24
Bunuel wrote:
pkloeti wrote:
Check the highlighted part of the stem:

Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides to lineup male, female, male, female, male, female. The lineup that Team A chooses will be one of how many different possible lineups?


So does this mean in "GMAT language" that every 1st, 3rd and 5th person in the lineup MUST be a male? If so, I get it. I guess it's about practicing GMAT language...


Well, yes. How else? The stem directly specifies the desired line-up: it should start with a male and then alternate females and males.[/quote]


OK, thanks a lot!!
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Team A and Team B are competing against each other in a game  [#permalink]

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New post 09 Sep 2018, 09:31
Bunuel wrote:
pkloeti wrote:
Check the highlighted part of the stem:

Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides to lineup male, female, male, female, male, female. The lineup that Team A chooses will be one of how many different possible lineups?


So does this mean in "GMAT language" that every 1st, 3rd and 5th person in the lineup MUST be a male? If so, I get it. I guess it's about practicing GMAT language...


Well, yes. How else? The stem directly specifies the desired line-up: it should start with a male and then alternate females and males.[/quote]



Hi Bunuel,

Could you please clarify me the following? the

I was also confused by the wording. But I was sure that it won't be 6! ways because MMMFFF can't be arranged in 6! ways.

I thought it would be 6!/(3!*3!) = 20

But this option is not given. So, I had to figure out the solution by doing 3!*3! = 36

Now, I am not sure what the difference is between 6!/(3!*3!) = 20 and 3!*3! = 36.

I think 6!/(3!*3!) = 20 means the number of the different possible combination. and

3!*3! = 36 means the arrangement with a certain condition.

Please clarify the confusion.
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Team A and Team B are competing against each other in a game  [#permalink]

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New post 09 Sep 2018, 19:53
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Raihanuddin wrote:
Hi Bunuel,

Could you please clarify me the following? the

I was also confused by the wording. But I was sure that it won't be 6! ways because MMMFFF can't be arranged in 6! ways.

I thought it would be 6!/(3!*3!) = 20

But this option is not given. So, I had to figure out the solution by doing 3!*3! = 36

Now, I am not sure what the difference is between 6!/(3!*3!) = 20 and 3!*3! = 36.

I think 6!/(3!*3!) = 20 means the number of the different possible combination. and

3!*3! = 36 means the arrangement with a certain condition.

Please clarify the confusion.


3!*3! is the number of permutations when the lineup is male, female, male, female, male, female (M-F-M-F-M-F) only.

6!/(3!3!) is the number of permutations of 3 males and 3 females without any restrictions.
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Re: Team A and Team B are competing against each other in a game  [#permalink]

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New post 09 Sep 2018, 20:06
Bunuel wrote:
ashygoyal wrote:
Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides to lineup male, female, male, female, male, female. The lineup that Team A chooses will be one of how many different possible lineups?

(A) 9
(B) 12
(C) 15
(D) 36
(E) 720

I have a doubt here.
Should we count,
(m1 w1 m2 w2 m3 w3) as a line up or,
(m w m w m w) as a line up?

According to the question, it says one of the lineups is (m w m w m w)
Doesn't that mean, other lineups will also include (m m m w w w), (w w w m m m),... and so on?

What wording in question makes us stick to only (m w m w m w)?

Please correct if my thought process is wrong.


Regards,
Ashygoyal


The question says that the lineup should be male, female, male, female, male, female (M-F-M-F-M-F) only. So, alternating males and females, starting with a male. Any male can take any of the three M's positions and any female can take any of the three F's positions giving different arrangements. 3 men can be arranged in 3! ways and similarly 3 women can be arranged in 3! ways. So, the answer is 3!*3! = 36.

Answer: D.

Hope it's clear.


Posted from my mobile device


Can't we consider total combinations as 6!/(3!×3!) which gives 20. In this case with total combinations being 20, how can a specific combination gives 36 ?
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Re: Team A and Team B are competing against each other in a game  [#permalink]

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New post 09 Sep 2018, 20:10
anvesh004 wrote:
Bunuel wrote:
ashygoyal wrote:
Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides to lineup male, female, male, female, male, female. The lineup that Team A chooses will be one of how many different possible lineups?

(A) 9
(B) 12
(C) 15
(D) 36
(E) 720

I have a doubt here.
Should we count,
(m1 w1 m2 w2 m3 w3) as a line up or,
(m w m w m w) as a line up?

According to the question, it says one of the lineups is (m w m w m w)
Doesn't that mean, other lineups will also include (m m m w w w), (w w w m m m),... and so on?

What wording in question makes us stick to only (m w m w m w)?

Please correct if my thought process is wrong.


Regards,
Ashygoyal


The question says that the lineup should be male, female, male, female, male, female (M-F-M-F-M-F) only. So, alternating males and females, starting with a male. Any male can take any of the three M's positions and any female can take any of the three F's positions giving different arrangements. 3 men can be arranged in 3! ways and similarly 3 women can be arranged in 3! ways. So, the answer is 3!*3! = 36.

Answer: D.

Hope it's clear.


Posted from my mobile device


Can't we consider total combinations as 6!/(3!×3!) which gives 20. In this case with total combinations being 20, how can a specific combination gives 36 ?


I think you did not read the whole discussion. Please do. I hope it helps.
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Re: Team A and Team B are competing against each other in a game  [#permalink]

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New post 09 Nov 2019, 13:08
What is a tug-of-war game and why do they mention team B? Does team B have anything to do with this? Thanks!
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Re: Team A and Team B are competing against each other in a game  [#permalink]

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New post 26 Nov 2019, 08:01
ganand wrote:
Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of 3 males and 3 females, decides to lineup male, female, male, female, male, female. The lineup that Team A chooses will be one of how many different possible lineups?

(A) 9
(B) 12
(C) 15
(D) 36
(E) 720


total males = 3 and females = 3
line up male, female, male, female, male, female = 3*3*2*2*1*1 ; 36
IMO D
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Re: Team A and Team B are competing against each other in a game  [#permalink]

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New post 18 May 2020, 07:40
Here is as an analogy.

Team Sri Lanka and Team Kenya are competing against each other in a cricket game of ICC World Cup. Team Sri Lanka, consisting of 6 Left handed batsmen (LB) and 5 Right handed batsmen (RB), decides to lineup LB,RB,LB,RB,LB,RB,LB,RB,LB,RB,LB. The lineup that Team Sri Lanka chooses will be one of how many different possible lineups?

now, Opening slot is fixed for LB. The team management / caption whoever has decided , one LB will be sent to open the innings out of 6 LBs. ( this is quite logical also, may be opponent teams opening bowler is off break spinner or left arm pacer whatever, ) so, order is fixed here. we cant send a RB to open the innings.
Additionally, if "LB,RB,LB,RB,LB,RB,LB,RB,LB,RB,LB" were one of the all possible combinations ( without restriction ) , then the captain would not specifically/explicitly mention 11 players in an order or pattern.
so, odd number of positions are strictly reserved for LBs.
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Re: Team A and Team B are competing against each other in a game  [#permalink]

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New post 03 Jun 2020, 21:09
I am really confused, the question never tells u that the team would line up in the arrangement only. It is just one of 720 arrangements and that wt question asks. I guess sometimes GMAT can also give u a bad question.
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Re: Team A and Team B are competing against each other in a game  [#permalink]

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New post 11 Jun 2020, 06:09
cbh wrote:
The question is really confusing. It's not clear if the suggested approach to line up 3 males and 3 females is a pattern or just one of the possible solutions.
I also resolved it through 6! as the questions asked " The lineup that Team A chooses will be one of how many different possible lineups"

Even if you google the question you will find a google book, and the response is still confusing:)) It says Any of the 3 males can be first in the line and any of the 3 females can be second
But why not the females start the line? I cannot find this constraint in the question


It is clear from the question, isn't it?

"Team A decides to line up..."
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Re: Team A and Team B are competing against each other in a game   [#permalink] 11 Jun 2020, 06:09

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