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keisanHigh-precision calculations for everyday life and work

Combinations (Table)

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Generates a table of nCr, the number of combinations of r items chosen from n distinct items, as r varies.
Original number: n
≦300
\(\normalsize Combinations\\ (1)\ {}_nC_r=\binom{ n }{ r }={\large\frac{n!}{r!(n-r)!}}\\ (2)\ {}_nC_r={\large\frac{{}_nP_r}{r!}}\\ (3)\ {\large\displaystyle \sum_{\small r=0}^{\small n}}{}_nC_r={}_nC_0+{}_nC_1+\cdots +{}_nC_n\\ \)

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