Category:Divisibility of Product of Consecutive Integers
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This category contains pages concerning Divisibility of Product of Consecutive Integers:
The product of $n$ consecutive positive integers is divisible by the product of the first $n$ consecutive positive integers.
That is:
- $\ds \forall m, n \in \Z_{>0}: \exists r \in \Z: \prod_{k \mathop = 1}^n \paren {m + k} = r \prod_{k \mathop = 1}^n k$
Pages in category "Divisibility of Product of Consecutive Integers"
The following 6 pages are in this category, out of 6 total.
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- Divisibility of Product of Consecutive Integers
- Divisibility of Product of Consecutive Integers/Examples
- Divisibility of Product of Consecutive Integers/Examples/10 to 13
- Divisibility of Product of Consecutive Integers/Examples/11 to 15
- Divisibility of Product of Consecutive Integers/Examples/4 to 8
- Divisibility of Product of Consecutive Integers/Examples/5 to 8