The value of the 10!/(10 - 2)! is 90 after simplification of the factorial option (C) 90 is correct.
What is an arithmetic operation?
It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
We have given an expression:
10!/(10 - 2)!
The sign '!' represents the factorial of the number.
As we know,
If factorial of any number can be evaluated:
n! = n(n - 1)(n - 2)(n - 3)(n - 4).......1
10! = 10×9×8×7×6×5×4×3×2×1
or
10! = 90(8!)
(10 - 2)! = 8!
= 90(8!)/(8)!
90
8! is canceled out from the numerator and denominator
Thus, the value of the 10!/(10 - 2)! is 90 after simplification of the factorial option (C) 90 is correct.
Learn more about the arithmetic operation here:
brainly.com/question/20595275
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