# . A boy has 3 Library tickets and 8 books of his interest

interest in the library. Out of these 8 , he does not want to borrow Chemistry part II ,

unless Chemistry part I is also borrowed. The number of ways in which he can choose the three books to be borrowed is

#### Best Answer

Explanation:-

The following are the different possibilities in which three books acn be borrowed;

(i) When Chemistry part II is selected, the Chemistry part I is also borrowed and the third book is selected from the remaining 6 books.

(ii) When Chemistry part II is not selected, in this case he has to select the three books from the remaining 7 books.

First choice can be made in 6C1=6 ways

Second choice can be made in 7C3=7×6×5 /1×2×3=35 ways .

​Total number of ways in which he can choose the three books to be borrowed =6+35=41.

Final answer:-

A boy has 3 Library tickets and 8 books of his interest in the library. Out of these 8 , he does not want to borrow Chemistry part II ,

unless Chemistry part I is also borrowed. The number of ways in which he can choose the three books to be borrowed is 41 ways.