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Very Easy Factorial Divisibility - ILL 1970 - Problem 3.
Very Easy Factorial Divisibility - ILL 1970 - Problem 3.
Source:
May 24, 2011
factorial
Problem Statement
Prove that
(
a
!
⋅
b
!
)
∣
(
a
+
b
)
!
(a!\cdot b!) | (a+b)!
(
a
!
⋅
b
!)
∣
(
a
+
b
)!
∀
a
,
b
∈
N
\forall a,b\in\mathbb{N}
∀
a
,
b
∈
N
.
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