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Permutation and Combination

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Intern
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Joined: 02 Dec 2017
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Permutation and Combination [#permalink]

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New post 02 Dec 2017, 22:43
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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!!

Kudos [?]: 0 [0], given: 2

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Manager
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Joined: 17 May 2015
Posts: 209

Kudos [?]: 247 [1], given: 73

Re: Permutation and Combination [#permalink]

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New post 03 Dec 2017, 02:07
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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: https://gmatclub.com/forum/permutations ... 50835.html

Thanks.

Kudos [?]: 247 [1], given: 73

Re: Permutation and Combination   [#permalink] 03 Dec 2017, 02:07
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