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 8 | |||
| Right Option : A | |||
| View Explanation | |||
Compute the expression | |||
| Right Option : B | |||
| View Explanation | |||
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10thAbhyas institute is one of the best coaching institute in the vicinity of Ambala Cantt area. The teachers of the institute are well experienced and very helpful in solving the problems of the students.The good thing of the institute is that it is providing extra classes for the students who are w...
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7thAbhyas institute is one of the best coaching institute in the vicinity of Ambala cantt.The institute provides good and quality education to the students.The teachers are well experienced and are very helpful in solving the problems. The major advantages of the institute is extra classes for weak...
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