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EXAM REVIEW – PART 1. Evaluate each of the following: a) 8! x 6! b) 5P3 c) 2. Express 8 x 7 x 6 in factorial notation. 4x3 3. Determine the sum of the 6th row of Pascal’s . 4. A volleyball roster has 12 players. Determine the number of ways: 5. 6. 7. 5C3 ____________ a) a team of 6 players can be chosen; ____________ b) a team of 6 players can be assigned a position on the court. ____________ Determine the number of ways 8 students can be arranged in: a) a row of 8 desks; ____________ b) a circle of 8 desks. ____________ A bag contains 10 red jellybeans and 8 black jellybeans. Determine the number of ways 5 jellybeans can be selected if: a) 1 red and 4 black jellybeans are chosen; c) at least 1 red jellybean is chosen. b) 2 of the same colour are chosen; Determine the number of 5-digit numbers that are possible, without repetition, if: a) the numbers must be odd; b) the numbers must contain the digit 7. 8. 9. Determine the number of 7-letter words that can be formed using the letters of the word PROBLEM with NO repetitions if: a) the letters B and L must occur ADJACENT to each other; b) the vowels must remain in their original positions. Determine the number of different paths that will spell out the word CARMEL. C A R E M L 10. A R E R M E L In an advertisement, a firm that manufactures three types of shampoo, Shine, Bubble, and Glory, stated that of 1100 families surveyed, 842 use Shine, 673 use Bubble, 585 use Glory, 600 use both Shine and Bubble, 423 use both Shine and Glory, 322 use both Bubble and Glory, and 265 use all three types. Determine, using a Venn Diagram, the number of families that did not use any of the three shampoos. S 11. Given the following sets: A = { 1, 2, 3, 4, 5 }, B = { 3, 4, 6 }, and C = {3, 6 }, determine each of the following: a) AB= __________________ b) AB= __________________ c) ABC= __________________ d) n(S) = __________________ e) n(B C) = __________________