A committee including 2 boys and 2 girls is to be formed from a group of 6 boys and 5 girls. How many different committee can be formed from the group

Respuesta :

Step-by-step explanation:

well, we need to multiply the possibilities of forming a group of 2 boys out of 6 with the possibilities to firm a group of 2 girls out of 5.

the first is 6 over 2

6! / (2! × (6-2)!) = 6×5/2 = 3×5 = 15

the second one is 5 over 2

5! / (2! × (5-2)!) = 5×4/2 = 5×2 = 10

so, these 15 possibilities combined with the 10 possibilities makes

15×10 = 150

possibilities to form this committee.