Question

Find (permutations) for probability.

P(8,5)

a) 6720
b) 56
c) 3360
d) 40

Answer 1

P(8,5) stands for the permutation of 8 items taken 5 at a time. Calculating this using the formula P(n,r) = n! / (n-r)!, the answer is found to be 6720. This matches option a).

Step-by-step explanation:

The student is asking to find P(8,5), which is the notation for the number of permutations of 8 items taken 5 at a time. Permutations are calculated using the formula:

P(n,r) = n! / (n-r)! where n! represents the factorial of n, and (n-r)! is the factorial of the difference between n and r.

For P(8,5), we calculate:

P(8,5) = 8! / (8-5)! = 8! / 3! = (8×7×6×5×4×3!) / 3! = 8×7×6×5×4 = 6720

Therefore, the correct answer is 6720, which corresponds to option a).