Divisibility of Product of Consecutive Integers/Examples/11 to 15
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Examples of Divisibility of Product of Consecutive Integers
\(\ds 11 \times 12 \times 13 \times 14 \times 15\) | \(=\) | \(\ds 360 \, 360\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 3003 \times 120\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds \binom {15} 5 \times 11 \times 12 \times 13 \times 14 \times 15\) |
Sources
- 1971: George E. Andrews: Number Theory ... (previous) ... (next): $\text {3-1}$ Permutations and Combinations: Example $\text {3-3}$