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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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A
B
C
D
E

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  15% (low)

Question Stats:

77% (01:06) correct 23% (01:02) wrong based on 217 sessions

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Joined: 20 Dec 2015
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Concentration: Operations, Marketing
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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
2
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
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Re: In how many ways can a coach select a university team from a pool of  [#permalink]

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New post 01 Jan 2019, 20:01
In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times as great as the number of slots on the team.
Given that coach select a 4-person university team, implies number of slots = 4
number of eligible candidates is three times as great as the number of slots on the team => eligible candidates = 3(number of slots) + number of slots
= 3(4) +4
=12
Number of ways we can select a team of 4 number = \(12C4\)
Sufficient

2) 60% of the 20 athletes are eligible to play on the four-person university team.
60% of 20 athletes = 0.6*20
= 12
Number of ways we can select a team of 4 number = \(12C4\)
Sufficient

Option D is correct
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Re: In how many ways can a coach select a university team from a pool of  [#permalink]

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New post 20 Jan 2019, 03:48
1
Dare Devil wrote:
In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

1) The number of eligible candidates is three times as great as the number of slots on the team.
Given that coach select a 4-person university team, implies number of slots = 4
number of eligible candidates is three times as great as the number of slots on the team => eligible candidates = 3(number of slots) + number of slots
= 3(4) +4
=12
Number of ways we can select a team of 4 number = \(12C4\)
Sufficient

2) 60% of the 20 athletes are eligible to play on the four-person university team.
60% of 20 athletes = 0.6*20
= 12
Number of ways we can select a team of 4 number = \(12C4\)
Sufficient

Option D is correct


The part "choose a 4-member university team" is nowhere to be found in the ordinary question. So B is correct
GMAT Club Bot
Re: In how many ways can a coach select a university team from a pool of   [#permalink] 20 Jan 2019, 03:48
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