In how many ways can 4 books be chosen from 12 books if
(i) there is no restriction?
(ii) a particular book is always included?
(iii) a particular book is never included?

In how many ways 7 books can be arranged from 10 books?

How many different selections of 4 books can be made from 10 different books,if There is no restriction Tow particular books are always selected; Two particular books are never selected?

How many different selections of 4 books can be made from 10 different books, if There is no restriction; Two particular books are always selected; Two particular books are never selected?

In how many ways can a cricket eleven be chosen out of a batch of 15 players, if (i) there is no restriction on the selection ? (ii) a particular player is always chosen? (iii) a particular player is never chosen?

In how many ways can a cricket eleven be chosen out of a batch of 15 players, if (i) there is no restriction on the selection ? (ii) a particular player is always chosen? (iii) a particular player is never chosen?

In how many ways can 11 players be selected from 14 players if (i) a particular player is always included? (ii) a particular player is never included?