How many ways can a committee of four students be selected from a 15-member club?
A) 15!/44!
B) 15!/(11! × 4!)
C) 15 × 14 × 13
D) 15!/(11! × 4!) and 15 × 14 × 13

Question

Quizplus · Accepted Answer

The number of combinations of selecting a committee of 4 students from a group of 15 is given by the formula 15C4, which is equal to 15!/(11! × 4!), where 11! is the product of all the integers from 1 to 11, and 4! is the product of all the integers from 1 to 4. Therefore, the answer is B.

How Many Ways Can a Committee of Four Students Be