Simplify 5!
5! = 5 x 4 x 3 x 2 x 1 = 120
Simplify 10P4
10P4 = 10!/(10-4)! = 10!/6! = 10 x 9 x 8 x 7 = 5,040
Simplify 8C5
8C5 = 8!/(5!(8-5)!) = 8!/ (5! x 3!) = (8 x 7 x 6)/(3 x 2 x 1) = 56
To simplify 5!, which is read as "5 factorial", you need to calculate the product of all the positive integers from 1 to 5. This can be done by multiplying 5 by 4, then multiplying the result by 3, then multiplying again by 2, and finally multiplying by 1.
So, the simplification of 5! is:
5! = 5 x 4 x 3 x 2 x 1 = 120
Therefore, 5! is equal to 120.