1. Four boys and four girls want to pose for a row of 8 chairs In how many ways may they arrange themselves such that a) there is no restriction? b) they are seated alternately? c) the boys want to be seated together? d) the girls refuse to sit together?
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2 The librarian is to arrange 4 different Math books, 5 different Science books and 3 different Literature books on a shelf How many arrangements can she make if a) the books may be arranged in any way? b) books of the same subject are placed together? c) only the Math books are placed together?
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3. Six married couples are to be seated at a round table Find the number of sitting arrangements if a) there is no restriction? b) each couple is to sit together? c) all the men want to be seated together? d) the women refuse to sit together?
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4. Four married couples are to be seated in a row of chairs for a picture taking. How many arrangements are possible if. a) there is no restriction? b) each couple is to sit together? c) all the men want to sit together? d) two particular women refuse to sit beside each other?
