Chapter 6 - Section 6.5 - Generalized Permutations and Combinations - Exercises - Page 432: 11

9 ways

Let x and y be the number of pennies and nickles chosen from the piggy bank respectively . We know, x + y = 8, x $\geq$ 0, y $\geq$ 0 Number of ways is given by $C$(n+r-1,r) Here n=2,r=8 Number of ways = $C$(2+8-1,8) = $C$(9,8) = 9