factorial

Algebra Level 1

n!=1 * 2 * 3 * ... * n
example 5!=1 * 2 * 3 * 4 * 5=120

What is 0!


The answer is 1.

Raghu Raman Ravi by Raghu Raman Ravi , 20, India

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5 solutions

Raghu Raman Ravi
Aug 11, 2014

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

therefore 

                                        1! = 0! * 1

                                        1  = 0! * 1

                                        0! = 1/1 = 1
3 Helpful 0 Interesting 0 Brilliant 0 Confused

5!=1 2 3 4 5 1!=1then 0!=0*1=0 only, isn't it please clarify this doubt

Viswa Prasad - 6 years, 9 months ago

actually 0!=1 is just made into a definition just for the sake of convenience. The factorial formula of n!=n(n-1)! is only applicable for values of n=2 or greater.

If n=1, then n!=(1)(1-1)! or simply (1)(0)!

this definition of 0!=1 is assumed so that the calculations of factorial would not all end up in 0.

Ely Gangat - 6 years, 9 months ago

n! = 1×2×3...×n So ... 0! = 1×2×3...×0

It's mean , the variable is not defined [ simmilar meaning wth. Infinity] ...

Yea... i got this @ my junior high school...

William Cipto - 5 years, 10 months ago
Mohammad Khaza
Jun 23, 2017

0 factorial is equal to 1.so, 0! multiplied by 1=1.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

n ! = ( n + 1 ) ! ÷ ( n + 1 ) ⇒ 0 ! = 1 ! ÷ 1 ⇒ 0 ! = 1 n! = (n+1)! \div (n+1) \Rightarrow 0! = 1! \div 1 \Rightarrow 0! = 1

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Ashish Menon
May 29, 2016

0 ! = 1 0! = \color{#69047E}{\boxed{1}} .

0 Helpful 0 Interesting 0 Brilliant 0 Confused
Brandon Zhang
Jul 25, 2015

It's is basically asking for how many ways can you arrange 0 objects? There is 1 way to arrange 0 objects

0 Helpful 0 Interesting 0 Brilliant 0 Confused

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