Question

the research director at NASA must choose five experiments for the next space shuttle. Twelve experiments are proposed. in how many ways can this decision be made if order does not matter.. how many ways can this be arranged?

Answer 1

• 95040

Explanation:

This is the combination of 5 experiments out of 12

Formula to find the combination:

• P(n,r) = n!/(n-r)!
• P(12,5) = 12!/(12-5)! = 12!/7! = 12*11*10*9*8 = 95040

So this can be arranged in 95040 ways