Question

A four-person committee is chosen from a group of eight boys and six girls.

Answer 1

The correct answer is:

C) 70/1001

Explanation:

Choosing 4 boys from a total of 8 boys is a combination of 8 taken 4 at a time:

$_8C_4=\frac{8!}{4!4!}=70$

Since they are all boys, we are choosing 0 girls from 6:

$_6C_0=\frac{6!}{0!6!}=1$

Choosing 4 students from 6+8=14 total students is a combination of 14 people taken 4 at a time:

$_{14}C_4=\frac{14!}{4!10!}=1001$

This gives us a probability of 70(1)/1001 = 70/1001.

Answer 2

70/1001 this is the answer because i just took the test so it is C.