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In how many ways can a coach select a university team from a pool of

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In how many ways can a coach select a university team from a pool of  [#permalink]

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New post 06 Mar 2018, 07:18
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In how many ways can a coach select a university team from a pool of eligible candidates?

(1) The number of eligible candidates is three times greater than the number of slots on the team.
(2) 60% of the 20 athletes are eligible to play on the four-person university team.

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In how many ways can a coach select a university team from a pool of  [#permalink]

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New post Updated on: 06 Mar 2018, 09:43
From 1
The number of eligible candidates is three times greater than the number of slots on the team.
let slots be n
Let the number of eligible candidates be x then x=3n
then also we can not calculate no of ways

From 2
60% of the 20 athletes are eligible to play on the four-person university team.

.6*20=12 so no of ways to form team 12C4
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Originally posted by arvind910619 on 06 Mar 2018, 09:29.
Last edited by arvind910619 on 06 Mar 2018, 09:43, edited 1 time in total.
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In how many ways can a coach select a university team from a pool of  [#permalink]

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New post 06 Mar 2018, 09:34
Bunuel wrote:
In how many ways can a coach select a university team from a pool of eligible candidates?

(1) The number of eligible candidates is three times greater than the number of slots on the team.
(2) 60% of the 20 athletes are eligible to play on the four-person university team.


Statement 1: if number of team slots is \(n\), then number number of eligible candidates is \(3n\)

Hence total selection = \(3n_C_n\). but we don't know the value of \(n\). Hence Insufficient

Statement 2: Total eligible candidate \(= 60\)%\(*20=12\)

Total members in a team \(=4\). Hence number of combinations possible = \(12_C_4\). Sufficient

Option B
In how many ways can a coach select a university team from a pool of &nbs [#permalink] 06 Mar 2018, 09:34
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