Question

Suppose the u.s. president wants to form a special panel to study the national energy crisis and make recommendations. he will pick from 12 members that are referred to him and form a panel of 5 individuals. if we assume randomness in the picking, how many ways are there in picking a panel of 5?

Answer 1

To solve this problem, we will use the formula for permutation. A permutation is where the order of the things in the set matter.
Solution:
₁₂P₅ = $\frac{12!}{7!}$ = 12 x 11 x 10 x 9 x 8 = 96,040 different ways that can be made.