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# Permutation and Combination

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Intern
Joined: 02 Dec 2017
Posts: 6

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02 Dec 2017, 23:43
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There are 8 job applicants.

a. In how many ways can the applicants be selected if there are two DIFFERENT job openings?
b. In how many ways can the applicants be selected if the two job positions are the same?

I really need help!!

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Manager
Joined: 17 May 2015
Posts: 242

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03 Dec 2017, 03:07
1
Anica123 wrote:
There are 8 job applicants.

a. In how many ways can the applicants be selected if there are two DIFFERENT job openings?
b. In how many ways can the applicants be selected if the two job positions are the same?

I really need help!!

Hi Anica123,

a. In how many ways can the applicants be selected if there are two DIFFERENT job openings?

For the first job, we can select any one of the 8 applicants in 8 ways AND for the second job we can select any one out of the remaining 7 applicants in 7 ways.

So required number of ways = 7*8 = 56. This is an example of Permutation or arrangement.

b. In how many ways can the applicants be selected if the two job positions are the same?

In this case, job profile is same so the order is not important. Required number of ways = (8*7)/2 = 28 ways. This is an example of Combination or selection.

Hope this helps.

For more detail: permutations-and-combinations-simplified-150835.html

Thanks.

--== Message from the GMAT Club Team ==--

THERE IS LIKELY A BETTER DISCUSSION OF THIS EXACT QUESTION.
This discussion does not meet community quality standards. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.
Re: Permutation and Combination &nbs [#permalink] 03 Dec 2017, 03:07
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