4. How many different 13-card hands can be dealt having exactly 4 spades and 5 diamonds? 6227020800 1.375 x 1010 2880 260 5. In how many ways can 12 people be separated into 4 equal groups to do different chores (group A does the dishes; B does the cooking; C does the laundry; D does the gardening)? 384 369600 48 479001600 6. How many committees of at least one person be formed from a group of 15? 1.307 x 1012 30 32767 32768 7. Sarah has eight coins: three loonies, one dime, one nickel, and three quarters. In how many ways can she line up the coins on her desk? 1120 40320 64 63