a. 6 books are to be chosen at random from 8 different books. i. Find the number

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a. 6 books are to be chosen at random from 8 different books.

i. Find the number of different selections of 6 books that could be made.

A clock is to be displayed on a shelf with S of the 8 different books on each side of it.

Find the number of ways this can be done if

ii. There are no restrictions on the choice of books,

iii. 3 of the 8 books are music books which have to be kept together.

b. A team of 6 tennis players is to be chosen from 10 tennis players consisting of 7 men and 3 women. Find the number of different teams that could be chosen if the team must include at least 1 woman.

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