In How Many Ways Can A Committee Of 5formed From 5junior And 5senior If The Comittee Must Have 3senior

in how many ways can a committee of 5formed from 5junior and 5senior if the comittee must have 3senior

 

Answer:

1200 ways

Step-by-step explanation:

Since the committee of 5 requires 3 seniors, there are only 2 slots left for juniors.

There are 5 seniors, and 3 slots to be filled, so there are 5 objects taken 3 at a time, that is P (5, 3) = 5× 4 ×3 = 60

There are 5 juniors, and 2 slots to be filled, so there are 5 objects taken 2 at a time, that is P (5, 2) =  5 ×4 = 20

Multiply both answers for senior and junior

P (5, 3) × P (5, 2)

= 5× 4 ×3 ×5 ×4

= 60× 20

= 1200 ways