Final answer:
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