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An office comprised of eight employees is planning to have a

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Senior Manager
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An office comprised of eight employees is planning to have a [#permalink] New post 08 Oct 2017, 22:44
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An office comprised of eight employees is planning to have a foosball game. A matchup consists of four players, split into pairs. If any employee can be paired up with any other employee, then how many unique matchups result?

(A) 70

(B) 210

(C) 280

(D) 336

(E) 420


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[Reveal] Spoiler: OA
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Re: An office comprised of eight employees is planning to have a [#permalink] New post 09 Oct 2017, 00:09
Bunuel wrote:
An office comprised of eight employees is planning to have a foosball game. A matchup consists of four players, split into pairs. If any employee can be paired up with any other employee, then how many unique matchups result?



Here, first we need to choose 4 employess from 8

i.e 8C4

Now these 4 employess split into 2 and can be paired with any one -

Let us have Ann, Bob, Dan and Jack as four employees

Now to pair up Ann we have three option left i.e Bob, Dan and Jack

So we have three possible ways.

There fore total ways = 8C4 * 3 = 70 * 3 = 210 ways.
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Re: An office comprised of eight employees is planning to have a   [#permalink] 09 Oct 2017, 00:09
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An office comprised of eight employees is planning to have a

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