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.