Section One: Evaluate or Simplify 1. 7! 2. 9! - 5! 3. 4. 10! 5. (n-1)! 6. n! 7!3! (n - 2)! 7. (n+1)! =20 (n -1)! Section Two: Solve the following problems: 1. Evaluate a) 7P3 b) 12P12 c) 8Po d) P (9, 5) 2. In how many ways can the vertices of a triangle be labelled? 3. a) In how many ways can the letters of the word POLICEMAN be arranged if the 'word' must begin with L and end with a vowel? b) What is the probability the 'word will begin with L and end with a vowel? 4. a) There are 12 people at a party. To run smoothly, there must be 1 cook, 1 dishwasher, 1 server, 1 hostess and 1 bartender. In how many ways can these jobs be assigned? b) What is the probability you will be the hostess and your best friend will be the cook? 5. There are 9 players on a hockey team. a) In how many ways can the players be arranged on the bench? b ) In how many ways can the starting line-up (5 players) be picked? c) What is the probability that Teemu will be the centre and Adam will be right wing?A. Evaluate 13 1. 12 2. 13, 3. 6 C3 4. C(8,0) B. Problems: 1. A gardener bought 5 rose bushes, 3 pansies, and 4 tulips from a nursery that had 15 rose bushes, 10 pansies, and 12 tulips. How many choices did she have? 2. The yearbook club consists of 5 girls and 5 boys. How many groups of 4 can be chosen if... a. there are no restrictions b. there must be 3 boys c. Maggie and Marley must be chosen d. find the probability of no boys 3. How many distinct 5-card hands can be dealt from an ordinary deck of cards? 4. In how many ways can a team of 9 softball players be selected from 15 trying out, if 3 are experienced and a. Rylea (who is experienced) and Emily (who isn't experienced) must be on the team? b. Find the probability that there is at least one experienced player on the team. c. Once the team is chosen, how many selections of 2 pitchers, 2 catchers, and 5 outfielders are possible? C. Problem Solving Solve for n: 1 . 12 -n = 54 2.4 (2 )= 163 3. Solve for r given "= 126 and P, = 3024