1. There are four routes A, B, C and D, between a person's home and the place where he works, but route B is one-way, so he cannot take it on the way to work, and route C is one-way, so he cannot take it on the way home. (a) By drawing a tree diagram, find the number of ways the person can go to and from work. (b) By drawing a tree diagram, find the number of ways he can go to and from work without taking the same route both ways. 2. Amy has 10 different mathematics books and 8 different chemistry books. In how many ways can she (a) put all 18 books on a shelf? (b) put 6 books on a shelf? (c) put half of the math and half othe chemistry books on a shelf, with the math books all to the left of the chemistry books? 3. Among the seven nominees for two vacancies on a city council are 3 men and 4 women. In how many ways can these vacancies be filled (a) with any 2 of the 7 nominees; (b) with any 2 of the 4 women; (c) with one of the men and one of the women?

1. There are four routes A, B, C and D, between a person's home and the place where he works, but route B is one-way, so he cannot take it on the way to work, and route C is one-way, so he cannot take it on the way home. (a) By drawing a tree diagram, find the number of ways the person can go to and from work. (b) By drawing a tree diagram, find the number of ways he can go to and from work without taking the same route both ways. 2. Amy has 10 different mathematics books and 8 different chemistry books. In how many ways can she (a) put all 18 books on a shelf? (b) put 6 books on a shelf? (c) put half of the math and half othe chemistry books on a shelf, with the math books all to the left of the chemistry books? 3. Among the seven nominees for two vacancies on a city council are 3 men and 4 women. In how many ways can these vacancies be filled (a) with any 2 of the 7 nominees; (b) with any 2 of the 4 women; (c) with one of the men and one of the women?

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.3: Rules For Addition

Problem 7P

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