Question

What is 7p5 ? responses

O 42
O 21
O 2520
O 16,807

Answer 1

The notation 7p5 is a permutation calculation for 7 objects taken 5 at a time, and the result is 2,520.

Step-by-step explanation:

The notation 7p5 represents a permutation of 7 objects taken 5 at a time. In permutations, order matters. To calculate 7p5, you can use the formula for permutations which is given by nPk = n! / (n-k)!, where n is the total number of objects and k is the number of objects to be arranged.

For 7p5, it would be calculated as:

1. Calculate the factorial of 7 (7!): 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040.
2. Subtract 5 from 7, which gives us 2. Then calculate the factorial of 2 (2!): 2 x 1 = 2.
3. Divide the factorial of 7 by the factorial of 2: 5,040 / 2 = 2,520.

This result shows us that there are 2,520 different ways to arrange 7 objects taking 5 at a time.