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# please provide the answers clearly 9. A television director is scheduling a certain sponsor's commercials for...

please provide the answers clearly

9. A television director is scheduling a certain sponsor's commercials for an upcoming broadcast. There are eight slots available for commercials. In how many ways may the director schedule the commercials (a) If the sponsor has eight different commercials, each to be shown once? (b) If the sponsor has four different commercials, each to be shown twice? (c) If the sponsor has three different commercials, the first of which is to be shown five times, the second two times, and the third once? 10. Suppose 100 people entered the door prize giveaway at a convention. The first place prize is a \$100 gift card, the second place prize is a \$50 gift card, and the third place prize is a \$25 gift card. If a person can only win 1 prize, how many ways can the door prizes be awarded? State which theorem from the text is applicable to solving this problem

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