Permutations Practice Test 1

Question : 2 of 40

Marks: +1, -0

A boy has three library tickets and eight books of his interest are there in the library. Out of these eight, 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:

61
41
51
None of these

Validate

Solution:

Let us make the following cases:
Case (i):
Boy borrows chemistry Part II. Then he borrows chemistry Part I also. So the number of possible choices is

^6C_1 = 6

Case (ii):
Boy does not borrow chemistry Part II. Then the number of possible choices is

^7C_3=7!/{4!3!}=35

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