a. A shelf contains 8 different travel books, of which 5 are about Europe and 3 are

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a. A shelf contains 8 different travel books, of which 5 are about Europe and 3 are about Africa.

i. Find the number of different ways the books can be arranged if there are no restrictions.

ii. Find the number of different ways the books can be arranged if the 5 books about Europe are kept together.

b. 3 DVDs and 2 videotapes are to be selected from a collection of 7 DVDs and 5 videotapes. Calculate the number of different selections that could be made.

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