Question

Find both the number of combinations and the number of permutations for 9 objects taken 6 at a time. Express your answer in exact simplest form.

Answer 1

The number of combinations is 84 and the number of permutations is 1512.

Step-by-step explanation:

To find the number of combinations and permutations, we can use the formulas:

Number of combinations = C(n, r) = n! / (r!(n-r)!)

Number of permutations = P(n, r) = n! / (n-r)!

For this problem, we have 9 objects taken 6 at a time.

Number of combinations = C(9, 6) = 9! / (6!(9-6)!) = 84

Number of permutations = P(9, 6) = 9! / (9-6)! = 1512