Q. 8 C3.8( 5 Votes )

How many different selections of 4 books can be made from 10 different books, if

two particular books are never selected.

Answer :

It is told that two books are never selected.


It is similar to selecting 4 books out of remaining 8books as 2 books are already removed.


Let us assume the choosing the no. of ways be N2,


N2 = choosing 4 books out of 8 books


N2 = 8C4


We know that


And also n! = (n)(n – 1)(n – 2)…………2.1





N2 = 70 ways


The required no. of ways are 210, 28, 70.


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