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How many different selections of 4 books can be made from 10 different books, if
(i)there is no restriction?
(ii)two particular books are always selected?
(iii)two particular books are never selected?

Answer : Since there are 10 different books out of which 4 is to be selected .

  • When there is no restriction

No. of ways in which 4 books be selected = 10C4

= 210 ways

  • Two particular books are always selected

Since two particular books are always selected, so ways of selecting 2 books from 8 are

= 8C2 ways

= 28 ways

  • Two particular books are never selected

Since two particular books are never selected so, ways of selecting 4 books from 8 are

= 8C4 ways

= 70 ways