Question

Evaluate the expression. P(8, 5)/P(7, 4) P(6, 5)

Answer 1

Answer: 24

Explanation:

Let's calculate each part separately:

1. P(8, 5) = 8!/3! = (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1) = 56 * 6 * 5 * 4 * 3 * 2 * 1 = 20160

2. P(7, 4) = 7!/3! = (7 * 6 * 5 * 4 * 3 * 2 * 1) / (3 * 2 * 1) = 35 * 4 * 3 * 2 * 1 = 840

Now, let's find the final result:

P(8, 5)/P(7, 4) = 20160/840 = 24

So, the value of the expression is 24.