NEW HERE? LEARN MORE
closeclose
Last visit was: 26 Apr 2024, 22:12 It is currently 26 Apr 2024, 22:12
Decision Tracker
My Rewards
New posts
New comers' posts

Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

Rules 1. Time yourself 2. Work your solution on a seperate

User avatar
Praetorian
CEO
CEO
Joined: 15 Aug 2003
Posts: 2876
Own Kudos [?]: 1649 [0]
Given Kudos: 781
Send PM
Rules 1. Time yourself 2. Work your solution on a seperate [#permalink] New post   09 Mar 2004, 16:12
00:00
A
B
C
D
E

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
Hide Show timer Statistics
Rules

1. Time yourself
2. Work your solution on a seperate sheet of paper
3. write your solution here , and your time please

I say it again, we request your timings for different problems. this will help us in our project. you can just say >2 min or all aphabets except the vowels A,E,I,O and U ]

1) (26^3)*(21)
2) 26*25*24*21
3) 25*24*23*21
4) 25^3*21



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block below for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
User avatar
anandnk
Director
Director
Joined: 30 Oct 2003
Posts: 899
Own Kudos [?]: 373 [0]
Given Kudos: 0
Location: NewJersey USA
Send PM
Re: Rules 1. Time yourself 2. Work your solution on a seperate [#permalink] New post   Updated on: 09 Mar 2004, 17:44
less than 10 seconds

26^3 * 21

I dont understand what you mean by distinct initials.

is AAAA a distcint initial or not ?

Originally posted by anandnk on 09 Mar 2004, 16:21.
Last edited by anandnk on 09 Mar 2004, 17:44, edited 1 time in total.
User avatar
Geethu
Senior Manager
Senior Manager
Joined: 05 May 2003
Posts: 279
Own Kudos [?]: 62 [0]
Given Kudos: 0
Location: Aus
Send PM
Re: Rules 1. Time yourself 2. Work your solution on a seperate [#permalink] New post   09 Mar 2004, 19:46
3) 25*24*23*21
I assumed distinct initial means ABCD without repeating them in the same set.

I took 1 min.
User avatar
Dharmin
Manager
Manager
Joined: 06 Dec 2003
Posts: 209
Own Kudos [?]: 32 [0]
Given Kudos: 0
Location: India
Send PM
Re: Rules 1. Time yourself 2. Work your solution on a seperate [#permalink] New post   09 Mar 2004, 22:37
Another vote for 25*24*23*21;

Explanation:
First select consonant for 4th place, one can do that in 21 ways. now not to repeat that consonant again select 1st, 2nd and 3rd place in 25, 24 and 23 ways respectively.

Cheers :) , Dharmin
User avatar
Praetorian
CEO
CEO
Joined: 15 Aug 2003
Posts: 2876
Own Kudos [?]: 1649 [0]
Given Kudos: 781
Send PM
Re: Rules 1. Time yourself 2. Work your solution on a seperate [#permalink] New post   Updated on: 10 Mar 2004, 14:33
praetorian123 wrote:
Rules

1. Time yourself
2. Work your solution on a seperate sheet of paper
3. write your solution here , and your time please

I say it again, we request your timings for different problems. this will help us in our project. you can just say >2 min or <2 min...something like that.

How many four letter distinct initials can be formed using the alphabets of English language such that the last of the four words is always a consonant?

[ Consonant => all aphabets except the vowels A,E,I,O and U ]

1) (26^3)*(21)
2) 26*25*24*21
3) 25*24*23*21
4) 25^3*21


Edit: thanks kpadma, the correction has been done.

1) 26^3 * 21 is the answer. Good Discussion guys.
The question asks you to find out the number of distinct initials and not initials where the letters are distinct.
anandnk, is that clear now?
First letter can be arranged in 26 ways
Second letter can be arranged in 26 ways
Third letter can be arrranged in 26 ways

last one...NO vowels...so 26- 5 =21 ways

26^3 * 21 ways

Answer A

thanks all
praetorian

Originally posted by Praetorian on 10 Mar 2004, 01:04.
Last edited by Praetorian on 10 Mar 2004, 14:33, edited 1 time in total.
User avatar
kpadma
Senior Manager
Senior Manager
Joined: 03 Jul 2003
Posts: 380
Own Kudos [?]: 451 [0]
Given Kudos: 0
Send PM
Re: Rules 1. Time yourself 2. Work your solution on a seperate [#permalink] New post   10 Mar 2004, 08:52
praetorian123 wrote:
4) 25^3 * 21 is the answer. Good Discussion guys.

last one...NO vowels...so 26- 5 =21 ways

26^3 * 21 ways

Answer A

thanks all
praetorian


Dear Praetorian,

Is it 25^3 * 21 or 26^3 * 21?
User avatar
Makky07
Manager
Manager
Joined: 23 Sep 2003
Posts: 192
Own Kudos [?]: 23 [0]
Given Kudos: 0
Location: US
Send PM
Re: Rules 1. Time yourself 2. Work your solution on a seperate [#permalink] New post   10 Mar 2004, 09:47
Geethu and Dharmin,

Distinct initials = 26^3 * 21
Even if the first three letter are the same, the last consonant is sufficient to make all the initials distinct. BBBC is not the same as CBBB because we're talking initials.
User avatar
Geethu
Senior Manager
Senior Manager
Joined: 05 May 2003
Posts: 279
Own Kudos [?]: 62 [0]
Given Kudos: 0
Location: Aus
Send PM
Re: Rules 1. Time yourself 2. Work your solution on a seperate [#permalink] New post   10 Mar 2004, 09:52
Thank you ndidi204.

anandnk, which probability book are you using. I haven't given any specific study to this topic separately. But you seem to give exact answers.
User avatar
Makky07
Manager
Manager
Joined: 23 Sep 2003
Posts: 192
Own Kudos [?]: 23 [0]
Given Kudos: 0
Location: US
Send PM
Re: Rules 1. Time yourself 2. Work your solution on a seperate [#permalink] New post   10 Mar 2004, 10:17
Hey Geethu,

I recommend "Probability Without Tears" by Derek Rowntree. Great book. Completely explains probability/combinations/permuations in a very clear and straightforward manner. You can borrow it from your local library if you don't want to buy it.

It also gives several good examples.
User avatar
anandnk
Director
Director
Joined: 30 Oct 2003
Posts: 899
Own Kudos [?]: 373 [0]
Given Kudos: 0
Location: NewJersey USA
Send PM
Re: Rules 1. Time yourself 2. Work your solution on a seperate [#permalink] New post   10 Mar 2004, 11:35
Hi Geethu,

I didnt use any probability book. I just learnt it in this club by carefully analyzing every post. Very few times I visited
https://mathworld.wolfram.com/

Probability is one subject you will either hate or love.

Anand.



Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Data Sufficiency (DS) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
GMAT Club Bot
gmatclubot
Re: Rules 1. Time yourself 2. Work your solution on a seperate [#permalink]
10 Mar 2004, 11:35
Moderators:
Bunuel
Math Expert
92948 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts
GMATBusters
GMAT Tutor
1905 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions