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Combinations with Repetition

TOP/Collection of Mathematical Formulas/Permutations and Combinations
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Calculates the number of combinations of r items chosen from n distinct items, allowing repetition.
Original number n
n≧1,r≧0
Number of selections: r
Number of Combinations 
\(\normalsize Combinations\ with\ repetition\\ (1)\ {}_{n+r-1}C_r={\large\frac{(n+r-1)!}{r!(n-1)!}}\\ \)

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