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
Short Answer
The number of different possible assignments are
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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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How many different linear arrangements are there of the letters A, B, C, D, E, F for which
(a) A and B are next to each other?
(b) A is before B?
(c) A is before B and B is before C?
(d) A is before B and C is before D?
(e) A and B are next to each other and C and D are also next to each other?
(f) E is not last in line?
Prove that:
Hint: Consider a group of men and women. How many groups of size are possible?
A psychology laboratory conducting dream research contains rooms, with beds in each room. If sets of identical twins are to be assigned to these beds so that each set of twins sleeps in different beds in the same room, how many assignments are possible?
Two experiments are to be performed. The first can result in any one of m possible outcomes. If the first experiment results in outcome i, then the second experiment can result in any of ni possible outcomes, i = 1, 2, ..., m. What is the number of possible outcomes of the two experiments?
(a) In how many ways can 3 boys and 3 girls sit in a row? (b) In how many ways can 3 boys and 3 girls sit in a row if the boys and the girls are each to sit together? (c) In how many ways if only the boys must sit together? (d) In how many ways if no two people of the same sex are allowed to sit together?
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