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5- Jing works in a store and she spends some of her time organizing the stationary section. If there are nine different items on the rack, in how many ways can she organize the rack so that the two most expensive items are not together? (2K) 6- A book club offers a choice of 3 books from a list of 40. In how many ways can a member make a collection? (2K) 7-"- How many positive integers less than 500 can be formed using the numbers 1, 2, 3, and 5? (2A) 3- How many ways can you order the letters in KEYBOARD if a- There are no restrictions? (1K) b- If K and Y must always be kept together? (2K) 9- How many distinct \"words" can you make using all the letters of the word PARALLELEPIPED? (2K) III]- A bowl of 20 marbles includes 12 red marbles and 8 blue marbles. How many different results if you reach in and grab some marbles? (2A) 1. There are seven members in the track team. If all of them are to run in a heat, how many different top three nishes could there be? (ZR) In how many ways can four boys and three girls be seated along one side of a table so that no two boys are together? (Hint: use a diagram). (2T) There are two bus routes from Lindsay's house to the shopping centre, four bus routes from the shopping centre to downtown, and three bus routes from downtown to Lindsay's house. Draw a tree diagram to illustrate the possible routes Lindsay can take if she leaves her house on Saturday morning to go to the shopping centre, and she wants to stop downtown on her way home. (2K) There are three movies playing in town. Four of the high schools are holding dances. Alex and Josie want to go out for the evening, first to a movie and then, to a dance. How many choices are there for Alex and Josie? (2A)