Question

A total of 6 family members will appear in a portrait. if 4 of the family members may sit in the front row how many combinations of family members may sit in the front row?

Answer 1

The answer would be 15

Answer 2

Answer: 15

Explanation:

The combination of n things taken r at a time :-

`^nC_r=(n!)/(r!(n-r)!)`

Given : A total of 6 family members will appear in a portrait.

If 4 of the family members may sit in the front row , then the number of combinations of family members may sit in the front row is given by :-

`^6C_4=(6!)/(4!(6-4)!)\\\\=(6!)/(4!2!)=15`

Therefore , the number of combinations of family members may sit in the front row =15