Chapter 12 - Data Analysis and Probability - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 754: 21

6

Use the formula of permutation: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$. Plug in 6 for N and 1 for R: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$ $_{6}$P$_{1}$=$\frac{6!}{(6-1)!}$ -simplify- $_{6}$P$_{1}$=$\frac{6!}{5!}$ -write using factorial- $_{6}$P$_{1}$=$\frac{6*5*4*3*2*1}{5*4*3*2*1}$ -simplify- $_{6}$P$_{1}$=6