1. There are 14 delegates at a meeting. Each delegate shakes hands with all other delegates. How many handshakes occur? [2] 2. Which is greater, the number of permutations of 8 books or the number of combinations of 8 books, each taken from a collection of 12 books? Explain your reasoning. [2] 3. In a hotel lobby, a display stand has advertising brochures from 20 different restaurants. In how many ways could Geoff select some brochures from the display stand? [2] 4. In how many ways could a 5-card hand be dealt containing at least one face card? [2] 5. A game uses the 10, jack, queen, king, and ace of hearts and spades. How many 6-card hands contain a) an equal number of hearts and spades? [2] b) more hearts than spades? [3] 6. Determine which row of Pascal's triangle has a sum of 16 384. [1]