find p(9,4)

To find the value of p(9,4), we need to understand the concept of permutations.

Permutations are used to calculate the number of ways to arrange a set of objects in a specific order. The formula for calculating permutations is:

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

Where:
- n is the total number of objects
- r is the number of objects to be arranged in a specific order
- ! denotes the factorial function, which is the product of all positive integers less than or equal to a given positive integer

In our case, n = 9 and r = 4. Plugging these values into the formula, we have:

P(9, 4) = 9! / (9 - 4)!
= 9! / 5!

To calculate 9!, we multiply all positive integers from 1 to 9:

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

Next, we calculate 5!:

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

Finally, we substitute these values back into the formula:

P(9, 4) = (1 x 2 x 3 x 4 x 5 x 6 x 7 x 8 x 9) / (1 x 2 x 3 x 4 x 5)

By simplifying the expression, we find:

P(9, 4) = 9 x 8 x 7 x 6 = 3,024

Therefore, p(9,4) is equal to 3,024.