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11 grade maths others

What is (-4)! ?

Profile image of Aniket Singh
1 Year agoGrade
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1 Answer

Profile image of Askiitians Tutor Team
1 Year ago

The expression "(−4)!" refers to the factorial of -4. However, the factorial function is only defined for non-negative integers (i.e., 0, 1, 2, 3, ...).

The factorial of a number "n," denoted as "n!", is defined as the product of all positive integers from 1 to n. Specifically:

n! = n × (n - 1) × (n - 2) × ... × 2 × 1, for n ≥ 0.

For negative integers like -4, the factorial is not defined because we can't take the product of integers in the same way for negative numbers.

Therefore, the factorial of -4, or (−4)!, does not exist.