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Chapter 1: Q.1.3 (page 15)
Twenty workers are to be assigned to 20 different jobs, one to each job. How many different assignments are possible
The number of different possible assignments are
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A president, treasurer, and secretary, all different, are to be chosen from a club consisting of people. How many different choices of officers are possible if
(a) there are no restrictions?
(b) A and B will not serve together?
(c) C and D will serve together or not at all?
(d) E must be an officer?
(e) F will serve only if he is president?
John, Jim, Jay, and Jack have formed a band consisting of 4 instruments. If each of the boys can play all 4 instruments, how many different arrangements are possible? What if John and Jim can play all 4 instruments, but Jay and Jack can each play only piano and drums?
Consider a function of variables. How many different partial derivatives of order does possess?
Seven different gifts are to be distributed among children. How many distinct results are possible if no child is to receive more than one gift?
In how many ways can novels, mathematics books, and chemistry book be arranged on a bookshelf if
(a) the books can be arranged in any order?
(b) the mathematics books must be together and the novels must be together?
(c) the novels must be together, but the other books can be arranged in any order?
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