the value of 0!

why the value of 0! is 1 ???

#Algebra

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`2 \times 3`	$2 \times 3$
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Comments

As n! Can also be expressed as n×(n-1)! So if we take 1!=1 (1-1)! it simplifies to 1!=1×0! Therefore1=0! there are more ways to prove that as well...

Rohit Udaiwal - 6 years, 2 months ago

Yeah it kind of goes along with the pattern of factorials, so it's nice to have it defined as 1. I think they mentioned that in this vid too: https://www.youtube.com/watch?v=Mfk_L4Nx2ZI

Sudeshna Pontula - 6 years, 2 months ago

thank you for giving me the link :D

Tootie Frootie - 6 years, 2 months ago

@Tootie Frootie – No problem :). Have you seen this channel before? I don't know what they talk about half of the time :P, but its got some pretty neat stuff.

Sudeshna Pontula - 6 years, 2 months ago

@Sudeshna Pontula – well , i was not aware of this channel before. wish i had known it. .... yup it is :D ;)

Tootie Frootie - 6 years, 2 months ago

explained well,...

Tootie Frootie - 6 years, 2 months ago

Hint - Use nCr formulae

Vaibhav Prasad - 6 years, 2 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$