Simplify the expression.

12P5 (by the way numbers are smaller)


A. 11,880


B. 95,040


C. 1,235,520


D. 7,920

well, just multiply it out:

12*11*10*9*8

To simplify the expression 12P5, we can use the formula for permutation, which is given by:

nPm = n! / (n-m)!

In this case, we want to calculate 12P5, so we have:
12P5 = 12! / (12-5)!

First, let's calculate the factorial of 12.

12! = 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

Next, let's calculate (12-5)!:

(12-5)! = 7!

Now, let's substitute these values back into the original formula:

12P5 = (12!) / (7!)

To simplify further, we need to calculate the factorial of 7:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1

Now, we can substitute this value back into the expression:

12P5 = (12!) / (7!) = (12 x 11 x 10 x 9 x 8) / (7 x 6 x 5 x 4 x 3 x 2 x 1)

Calculating this expression gives us:

12P5 = 95,040

Therefore, the correct answer is B. 95,040.