Page 4 ath 146 Additional Problems for Chapter 4 You may use permutations, combi
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Page 4 ath 146 Additional Problems for Chapter 4 You may use permutations, combinations, the fundamental counting principle counting methods as appropriate. (Some problems may require using more than one 1) Bach book registered in the Library of Congress must have an ISBN code number or an ISBN code number. For an ISBN number of the form D-DD-DDDDDD-D, wher represents a digit from 0 through 9, how many different ISBN numbers are possible if repetition of digits is allowed? 2) The operator of the Audio Warehouse is planning a grand opening. He wishes to vertise that the store has many different sound systems available. They stock 10 different tape decks, 12 different receivers, and 9 different speakers. Assuming that a sound system will consist of one of each and that all pieces are compatible, how many different sound systems can they advertise? 3) In "Super Lotto", a California state lottery game, you select six distinct numbers from the counting numbers 1 through 51, hoping that your selection will match a random list selected by lottery officials. a) How many different sets of six numbers can you select? b) Robin always includes her age and her husband's age as two of the numbers in her Super Lotto selection. How many ways can she complete her list of six numbers? 4) At the race track, you win the "daily double" by purchasing a ticket and selecting the winner of both of two specified races. If there are 6 and 8 horses running in the first and second races, respectively, how many tickets must you purchase to guarantee a winning selection? local station manager has 10 different half-hour programs available and needs 5) A to sche 4 of the programs are unsuitable for showing before 9 p.m. but is obl of these sometime during the evening. How many choices does this leave fo evening schedule? (The program order may be important.) dule 6 of them in the hours from 7 to 10 p.m. The station manager feels that 6) Radio stations in the United States have call letters that begin with K or W (for west or east of the Mississippi River, respectively). Some have three call letters, such San Francisco. Assuming as WBZ in Boston, WLS in Chicago, and KGO i repet no ition of letters, how many three-letter sets of call letters are possible? A teacher constructs a mathematics test consisting of 10-questions. She questions, 10 average questions, and 12 easy questions. How many different pool of 28 question, which are classified bylevel ofdimeul uesstion tests can she construet from the pool of 28 questio Ity as follows: 6 difficult ns if her test is to have 3 and 3 easy questions?Explanation / Answer
1)Since each of the Ds can take any value from 0 to 9 , a total of 10 values with no restrictions given in the question.
Number of cobinations = 10^10
Please repost the other questions individually.
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