what is 0 factorial?Give proof.
0! = 1'
proof....
as we know
1! = 1*1 = 1
2! = 1*2 = 2
...
n! = 1*2*3*...*(n-2)*(n-1)*n
i.e.
n!= n*(n-1)! ...............(1)
For n=1,
equation (1) becomes
1! = 1*0!
or
1 = 0!
what is 0 factorial?Give proof.
0! = 1'
proof....
as we know
1! = 1*1 = 1
2! = 1*2 = 2
...
n! = 1*2*3*...*(n-2)*(n-1)*n
i.e.
n!= n*(n-1)! ...............(1)
For n=1,
equation (1) becomes
1! = 1*0!
or
1 = 0!