Chapter 12 - Data Analysis and Probability - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 754: 27

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Use the formula of combination: $_{n}$C$_{r}$=$\frac{n!}{r!(n-r)!}$. Plug in 6 for N and 6 for R: $_{n}$C$_{r}$=$\frac{n!}{r!(n-r)!}$ $_{6}$C$_{6}$=$\frac{6!}{6!(6-6)!}$ -simplify like terms- $_{6}$C$_{6}$=$\frac{6!}{6! (0!)}$ -write using factorial- $_{6}$C$_{6}$=$\frac{1!}{0!}$ -simplify- $_{6}$C$_{6}$=1