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Unformatted text preview: MATH 222 FALL 2011, Assignment Two (Answer Key) 1. A 30-member mathematics department must select one person to chair the discrete mathematics committee and two other people to co-chair the calculus committee. (a) In how many ways can this be done? The procedure consists of selecting a member to chair the discrete math committee ( 30 1 ways), followed by selecting two other members to co-chair the calculus com- mittee ( 29 2 ways). By the rule of product, there are 30 1 29 2 ways to complete the entire procedure. (b) In how many ways can this be done if Professor Blue refuses to chair the discrete mathematics committee? Following the setting in (a), the two selections can be performed respectively in 29 1 and 29 2 ways. Thus, there are 29 1 29 2 ways to complete the procedure. (c) In how many ways can this be done if Professor Green refuses to co-chair the calculus committee? In this case, we select two members to co-chair the calculus committee ( 29 2 ways), followed by selecting a member to chair the discrete mathematics committee ( 28 1 ways). There are 29 2 28 1 ways....
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This note was uploaded on 01/15/2012 for the course MATH 222 taught by Professor Huangjing during the Spring '11 term at University of Victoria.
- Spring '11