Chapter 8.

1. Calculate the number of ways to distribute 12 distinct nametags to 12 distinct conventioneers so that everyone gets the wrong nametag !12 =

2. Suppose there are 46 bags. Each bag contains 8 coins (some combination of pennies, nickels, and dimes.) Prove that at least 2 of the bags contain exactly the same amount of money.

3. In how many ways can 10 distinct flowers be placed in the 7 identical vases so that each vase has at least 1 flower? (Stirling numbers of the second kind)