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Why do we take 0! = 1? | StemPy Lab
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Why do we take 0! = 1?
Mathematics
Medium
High School (11–12)
Algebra › Permutations and Combinations
Created by
StemPy Lab
Why do we take
0
!
=
1
0! = 1
0
!
=
1
?
Because there is no way to arrange nothing
So that
n
P
0
=
0
{}^nP_0 = 0
n
P
0
=
0
Because
0
0
0
times anything is
1
1
1
So that
n
P
n
=
n
!
0
!
{}^nP_n = \dfrac{n!}{0!}
n
P
n
=
0
!
n
!
equals
n
!
n!
n
!
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