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

[BTGmoderatorLU]

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

[Manasa3190]

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