Question

The expression P(4, 3) is equal to:

Answer 1

The expression P(4, 3) represents the permutations of 4 items taken 3 at a time and is calculated using the formula P(n, r) = n! / (n-r)!. In this case, P(4, 3) equals 24.

Step-by-step explanation:

The expression P(4, 3) represents the number of permutations of 4 items taken 3 at a time. To calculate this, we use the formula for permutations P(n, r) = n! / (n-r)!, where '!' denotes factorial.

For P(4, 3), it will be calculated as follows:

1. First, find the factorial of 4, which is 4! = 4 x 3 x 2 x 1 = 24.
2. Then, calculate the factorial of the difference (4-3) which is 1! = 1.
3. Lastly, divide the factorial of 4 (24) by the factorial of the difference (1), getting:
4. P(4, 3) = 4! / (4-3)! = 24 / 1 = 24.

Therefore, P(4, 3) equals 24.