There are 5 vacancies on the scholarship committee at a certain university. In order to balance the men and women on the committee,1 woman and 4 men are to be appointed. In how many ways can this be done if the following are available to serve?(a) 9 men and 8 womenways(b) 5 men and 3 womenwaysAteLA

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Answered: There are 5 vacancies on the…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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There are 4 vacancies on the scholarship committee at a certain university. In order to balance the men and women on the committee, 1 woman and 3 men are to be appointed. In how many ways can this be done if the following are available to serve? (a) 9 men and 8 women ways(b) 4 men and 5 women ways
A legislative committee consists of 4 Democrats and 9 Republicans. A delegation of 4 is to be selected to visit a small island republic. Complete parts (a) through (d) below. (a) How many different delegations are possible? The 4 delegates can be selected different ways. (b) How many delegations would have all Democrats? The 4 delegates can be selected different ways if all 4 are Democrats (c) How many delegations would have 3 Democrats and 1 Republican? The 4 delegates can be selected different ways if 3 are Democrats and 1 is a Republican (d) How many delegations would include at least 1 Republican? The 4 delegates can be selected different ways if at least 1 is a Republican,

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There are 5 vacancies on the scholarship committee at a certain university. In order to balance the men and women on the committee, 1 woman and 4 men are to be appointed. In how many ways can this be done if the following are available to serve? (a) 9 men and 8 women ways (b) 5 men and 3 women ways