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In how many ways can a coach select a 4-person university

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In how many ways can a coach select a 4-person university

by BTGmoderatorLU » Wed Dec 26, 2018 2:22 pm

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A

B

C

D

E

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Source: Veritas Prep

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

The OA is D
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Source: — Data Sufficiency |
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by Manasa3190 » Tue Jan 01, 2019 6:52 pm

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Your Answer

A

B

C

D

E

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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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