02_04 - not important 8 How many ways are there of...

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STAT 400 Examples for 02/04/2011 Spring 2011 order of the selection is important order of the selection is not important repetitions allowed (w/ replacement) n r n + r – 1 C r repetitions not allowed (w/o replacement) n P r = ( ) ! ! r n n - n C r = ( ) ! ! ! r n r n - 7. The Baskin-Robbins Ice Cream Stores have 31 flavors of ice cream. a) How many different 3-scoop ice cream cones are possible if you are allowed to repeat flavors and want the scoops put on the cone in a particular order? b) How many different 3-scoop ice cream cones are possible if each scoop is a different flavor and you want the scoops put on the cone in a particular order? c) How many different 3-scoop cones are possible if each scoop is a different flavor and you don’t care about their order on the cone? d) How many different 3-scoop ice cream cones are possible if you are allowed to repeat flavors, but the order in which the scoops are placed into the cone is
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Unformatted text preview: not important? 8. How many ways are there of scrambling the letters of the word BANANA ? 9. A student bookstore has 18 STAT 400 textbooks: 9 are new, 6 are used, and 3 are abused. a) How many ways are there to arrange the textbooks on the shelf? b) Eight students come to the store to buy a STAT 400 textbook. Suppose that the purchased textbooks are selected at random. What is the probability that 4 of the students would get a new book, 3 would get a used one, and 1 student would get an abused textbook? 10. What is the probability that a 5-card poker hand drawn from a standard 52-card deck has … a) 2 red and 3 black cards? b) 2 clubs, 2 spades and 1 diamond? c) exactly 3 queens? d) 1 ace and 2 face cards (king, queen, jack)? e) no aces? f) at least one ace? g) two aces or two kings, or both (two aces and two kings)?...
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This note was uploaded on 02/24/2011 for the course STAT 400 taught by Professor Kim during the Spring '08 term at University of Illinois, Urbana Champaign.

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02_04 - not important 8 How many ways are there of...

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