0 votes 0 votes why value of $0! = 1$ sumit goyal 1 asked Feb 5, 2018 edited Mar 29, 2018 by Sukanya Das sumit goyal 1 1.5k views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Rishabh Gupta 2 commented Feb 5, 2018 reply Follow Share https://www.youtube.com/watch?v=X32dce7_D48 3 votes 3 votes Rameesh commented Mar 30, 2018 reply Follow Share Factorial is a mathematical notation and the thing it represents is number of ways to permute n objects. so if we talk about no of ways to permute n objects it is n! and no of ways to arrange 0 objects - it is one just leave it as it is (as an empty set). Also the definition of factorial has been generalized from +ive integers to -ive integers and real numbers also. If we think of factorial as function then from : R -> R then it fits the curve properly if we define 0! as 1. 0 votes 0 votes Please log in or register to add a comment.
Best answer 2 votes 2 votes We know n! = n * (n-1) ! put n=1 Then we get 1!= 1 * 0! => 0! = 1 Salazar answered Feb 5, 2018 selected Feb 5, 2018 by sumit goyal 1 Salazar comment Share Follow See all 0 reply Please log in or register to add a comment.