Question

A) If a club has 18 members, how many different three members committees are possible ?

Answer 1

816

Explanation:

Hi there! To answer your question, we can use a combination formula. In this case, we want to find the number of combinations of 3 members that can be selected from a group of 18 members.

The formula for combinations is:

n C r = n! / r!(n-r)!

where n is the number of items to choose from, and r is the number of items to choose.

Using this formula, we can calculate the number of different three-member committees that can be formed from a group of 18 members:

18 C 3 = 18! / 3!(18-3)! = 816

Therefore, there are 816 different three-member committees that can be formed from a club of 18 members.

Answer 2

`_(18)C_3=(18!)/(3!15!)=(16\cdot17\cdot18)/(2\cdot3)=816`