GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 23 Oct 2018, 22:26

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.

Close

Request Expert Reply

Confirm Cancel

Permutations and Combinations

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
Intern
Intern
avatar
Joined: 31 Aug 2017
Posts: 3
Permutations and Combinations  [#permalink]

Show Tags

New post 23 Nov 2017, 02:04
1
Hi there,

Got a question off the android app: "POCKET GMAT MATH"
I don't agree with the answer they give and would be interested in what people think:

How many different four letter words, with or without meaning, can be formed using the letters of the word GOUVERNMENT such that the first letter is V and the last is N?

Their answer is 43 (7*6+1)

I think it should be 57 (7*1+7*6+1*1+1*7)

Interested in what people think

Many thanks

Nicholas
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 6986
Re: Permutations and Combinations  [#permalink]

Show Tags

New post 23 Nov 2017, 07:44
churchntj wrote:
Hi there,

Got a question off the android app: "POCKET GMAT MATH"
I don't agree with the answer they give and would be interested in what people think:

How many different four letter words, with or without meaning, can be formed using the letters of the word GOUVERNMENT such that the first letter is V and the last is N?

Their answer is 43 (7*6+1)

I think it should be 57 (7*1+7*6+1*1+1*7)

Interested in what people think

Many thanks

Nicholas



there are 11 letters..
V and N are already used up, so we have to fill 2 places with 9 available...
but these 9 has 2 Es, so in actual, we have 9-1 = 8 different digits..

choose 2 out of 8 = 8C2 but these 2 can be arranged in 2! ways..
so ways = 8C2*2 = 28*2=56

there is also one way when both letters are E, so 1 more

total 56+1=57

you are correct with your answer
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

GMAT Club Bot
Re: Permutations and Combinations &nbs [#permalink] 23 Nov 2017, 07:44
Display posts from previous: Sort by

Permutations and Combinations

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Moderator: souvonik2k



Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.