25P3 A. 12,755 B. 14,290 C. 13,800 D. 18.250

5^2p^3

Sorry it's c

I looked it up on mathway

thank u

To solve the expression 25P3, we need to understand what it means. In mathematics, "P" represents the permutation function, which calculates the number of possible arrangements of a set of objects.

The formula to find the number of permutations is:
P(n, r) = n! / (n - r)!

In this case, n is 25 (the total number of objects) and r is 3 (the number of objects being arranged).

To solve 25P3, we substitute the values into the formula:

P(25, 3) = 25! / (25 - 3)!
= 25! / 22!

Now, we need to evaluate 25! and 22!:

25! = 25 x 24 x 23 x 22!

Substituting the value of 22! back into the equation gives us:

25! / 22! = 25 x 24 x 23 x 22! / 22!

The 22! terms cancel out, leaving us with:

25 x 24 x 23 = 13,800

Therefore, the answer to 25P3 is 13,800.

So, the correct answer is C) 13,800.