CBSE Class 11-science Answered
prove 0!=1
Asked by | 27 Jul, 2008, 04:27: PM
Expert Answer
Usually n factorial is defined in the following way:
- n! = 1*2*3*...*n
But this definition does not give a value for 0 factorial. One way to find ir is by working backwards.
We know that:
1! = 1 2! = 1!*2 2! = 2 3! = 2!*3 3! = 6 4! = 3!*4 4! = 24
In this way a reasonable value for 0! can also be found. 0! (1x0)
How can we fit 0! = 1 into a definition for n! ? Let's rewrite the usual definition with recurrence:
1! = 1 n! = n*(n-1)! for n > 1
Now it is simple to change the definition to include 0! :
0! = 1
Answered by | 28 Jul, 2008, 09:13: PM
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