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

Question

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.

arvind910619 · Answer

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

niks18 · Answer

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

Dare Devil · Answer

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

yenngoc2409 · Answer

The part "choose a 4-member university team" is nowhere to be found in the ordinary question. So B is correct

perk45 · Answer

This is directly from veritas book.
If it says in the question that the team is 4 people (N) and we know that from

1) that the candidates (c)= 3 (N)
2) 60%(20)= C

Is this not D?

In how many ways can a coach select a 4-person university team from a pool of eligible candidates?

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Bunuel · Answer

That's not the question discussed here. 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. As you can see we are not given that the coach is selecting a " 4-person university team ", it just says "a team". The question you are talking about is discussed here: https://gmatclub.com/forum/in-how-many- ... 04370.html And yes, the answer to that one is D.

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

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