Probability

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SwatiDenre: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Mon Apr 18, 2011 4:34 pm

by SwatiDenre » Mon Jun 13, 2011 5:22 pm

10 different letters of an alphabet are given. 2 of these letters are followed by 2 digit are used to number the products of a company. IN how many ways can the products be numbered?

A. 52040
B. 8100
C. 5040
D. 1000
E. 4000

Ans - 1000

Solution?

Thanks in advance.

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Source: Beat The GMAT — Problem Solving | Mon Jun 13, 2011 5:22 pm

Ashley@VeritasPrep: GMAT Instructor; Posts: 199; Joined: Tue May 17, 2011 6:06 amFollowed by: 121 members; Location: Cambridge, MA; Thanked: 192 times; GMAT Score:780

by Ashley@VeritasPrep » Mon Jun 13, 2011 6:29 pm

Hi there,

Could you double-check whether the problem says followed by "2 digits" or "1 digit"?

Ashley Newman-Owens
GMAT Instructor
Veritas Prep

Post helpful? Mosey your cursor on over to that Thank button and click, please! I will bake you an imaginary cake.

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smackmartine: Legendary Member; Posts: 516; Joined: Fri Jul 31, 2009 3:22 pmFollowed by: 13 members; Thanked: 112 times

by smackmartine » Mon Jun 13, 2011 6:42 pm

I spent 23 min scratching my head

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nafiul9090: Master | Next Rank: 500 Posts; Posts: 226; Joined: Thu Nov 25, 2010 12:19 amFollowed by: 2 members; Thanked: 3 times

by nafiul9090 » Mon Jun 13, 2011 8:32 pm

whats the source of the question ???

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newgmattest: Senior | Next Rank: 100 Posts; Posts: 52; Joined: Wed May 18, 2011 8:48 pm; Thanked: 4 times

by newgmattest » Mon Jun 13, 2011 9:12 pm

Question is correct and I assume answer is missing one "0".

Solution:

Any combination of 2 letters from 10 (where the letter can be the same one repeated) is 10x10=100 possibilities. For each of those there will be any number between 00 and 99, which is also 100 possibilities. Therefore a possible total of 100x100=10,000 products.

Otherwise for current answer, there must be only "1" digit which gives you 100 * 10 = 1000

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SwatiDenre: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Mon Apr 18, 2011 4:34 pm

by SwatiDenre » Tue Jun 14, 2011 7:18 am

Ashley@VeritasPrep wrote:Hi there,

Could you double-check whether the problem says followed by "2 digits" or "1 digit"?

Hi Ashley,
it was 2 digits . I think one of our frnd has answered the question.

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SwatiDenre: Junior | Next Rank: 30 Posts; Posts: 13; Joined: Mon Apr 18, 2011 4:34 pm

by SwatiDenre » Tue Jun 14, 2011 7:19 am

newgmattest wrote:Question is correct and I assume answer is missing one "0".

Solution:

Any combination of 2 letters from 10 (where the letter can be the same one repeated) is 10x10=100 possibilities. For each of those there will be any number between 00 and 99, which is also 100 possibilities. Therefore a possible total of 100x100=10,000 products.

Otherwise for current answer, there must be only "1" digit which gives you 100 * 10 = 1000

Hi,
You are right but the answer choices was guven exactly like this.

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