Factorial
Factorial
Factorial
The continued product of first n natural numbers is called the "n factorial" and is denoted by n!
i.e. n! = 1 X 2 X 3 X 4 X ... X ( n- 1) X n.
Thus, 3! = 1 X 2 X 3 = 6;
4! = 1 X 2 X 3 X 4 = 24,
5! = 1 X 2 X 3 X 4 X 5 = 120 etc.
Clearly, n! is defined for positive integers only.
Zero Factorial:
To find factorial of 0 We can multiply the integers from 1 to zero because multiplication of 0 is not defined.
So, we define 0! = 1.
Factorial of proper fractions or negative integers are not defined.
Hence we can say that factorial n is defined only for whole numbers.
n! = 1 X 2 X 3 X 4... X (n - 1) X n
n! = [ 1 X 2 X 3 X 4...X (n - 1)] X n
n! = [( n- 1)!] n = n X ( n - 1) !
Thus, n! = n X ( n - 1) !
For example,
Compute the following expression | |||
| Right Option : A | |||
| View Explanation | |||
Compute the factorial of 6 | |||
| Right Option : C | |||
| View Explanation | |||
Compute the following expression | |||
| Right Option : D | |||
| View Explanation | |||
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