Evaluate the permutation.

P(7, 4)

a. 1 b. 210 c. 7 d. 840

To evaluate the permutation P(7, 4), we can use the formula for permutations:

P(n, r) = n! / (n - r)!

where n is the total number of elements and r is the number of elements being selected at a time.

In this case, n = 7 and r = 4.

Using the formula:

P(7, 4) = 7! / (7 - 4)!
= 7! / 3!

Calculating the factorials:

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
3! = 3 × 2 × 1 = 6

Substituting the values:

P(7, 4) = 5040 / 6
= 840

Therefore, the answer is d. 840

To evaluate the permutation P(7, 4), we use the formula for permutation:

P(n, r) = n! / (n-r)!

Where n is the total number of items and r is the number of items being selected.

Let's calculate P(7, 4):

n = 7, r = 4

P(7, 4) = 7! / (7-4)! = 7! / 3!

Calculating the factorial:

7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 = 5040
3! = 3 * 2 * 1 = 6

So,

P(7, 4) = 5040 / 6 = 840

Therefore, the correct option is d. 840.