Math, asked by dhruvsh, 1 year ago

Why is 0! = 1. What's the derivation?

Answers

Answered by SupermanINFINITY
13
◇ Answer ◇

Okay...We Know
n! = n.×n-1×n-2×......

so, n! = n(n-1)!

Put , n=1...

1! = 1 = 1(1-1)!
1=1(0)!
0! = 1

Hence Proved

#SupermanINFINITY

SupermanINFINITY: The City Needs Help
SupermanINFINITY: -flies away
dhruvsh: Hey man it does have derivation....answer only if you know the answer please! !!
SupermanINFINITY: The Deeivation is a proof to itself
SupermanINFINITY: but ...as u asked for it
SupermanINFINITY: Its still a peice of theory
SupermanINFINITY: -flies away-
Answered by shubhangi94
3
hey mate here urs answer
o! = 1
proof = n'= n(n-1) !
substitute n=1
now, 1! = 1 (1-1)!
1 = 0!
hence , 0! = 1 .
I hope My answer will help u dhruv ^_^ ...
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