Chapter 12 - Data Analysis and Probability - 12-6 Permutations and Combinations - Practice and Problem-Solving Exercises - Page 755: 49

60

Use the formula of permutation: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$. Plug in 5 for N and 3 for R: $_{n}$P$_{r}$=$\frac{n!}{(n-r)!}$ $_{5}$P$_{3}$=$\frac{5!}{(5-3)!}$ -simplify- $_{5}$P$_{3}$=$\frac{5!}{2!}$ -write using factorial- $_{5}$P$_{3}$=$\frac{5*4*3*2*1}{2*1}$ -simplify- $_{5}$P$_{3}$=60