How can we prove that the value of 0!=1 ?

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Answer 1 · 2017-07-13T05:59:49

See below.

#n! =n(n-1)(n-2)(n-3) .... 2*1#

#:. n! = n*(n-1)!#

So long as #n!=0# we can divide both sides by #n#

#:. (n!)/n = (n-1)!#

Now set #n=1#

#(1!)/1 =0!#

#:.0! = 1/1 =1#