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# Homework 6 - Homework Six CS 191 Discrete Structures I Apr...

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Homework Six CS 191 : Discrete Structures I Apr. 17 , Winter 2007 Due Date: Apr. 26, 2007, Thursday, before the class meeting. _______________________________________________ Section 6.6, p265 In Exercise 1-3, determine the number of strings that can be formed by ordering the letters given. Exercise (2) SCHOOL _______________________________________________ Exercise (5) How many strings can be formed by ordering the letters SALESPERSONS if no two S’s are consecutive? _________________________________________________ Exercises 15-21 refer to piles of identical red, blue, and green balls where each pile contains at least 10 balls. Exercise (19) In how many ways can 10 balls be selected if exactly one red ball and at least one blue ball must be selected? ___________________________________________________ In Exercises 22-29, find the number of integer solutions of x 1 + x 2 + x 3 = 15 subject to the conditions given. Exercise (24) x 1 = 1, x 2 0, x 3 0. ____________________________________________________ Exercise (26) 0 x 1 6, x 2 0, x 3 0. _____________________________________________________ 1

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Exercises 35-40 refer to a bag containing 20 balls – six red, six green, and eight purple. Exercise (40) We draw five balls and at least one is red, then replace them. We then draw five balls and at most one is green. In how many ways can this be done if the balls are considered distinct? ______________________________________________________ Section 6.7, p270 Exercise (2) Expand ) 3 2 ( 5 d c -
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Homework 6 - Homework Six CS 191 Discrete Structures I Apr...

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