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Maths Permutations and Combinations Class 11 Assertion and Reason Questions

Assertion Reasoning Quiz · Class 11 · Maths · CBSE

Preparing for CBSE

Chapter 6 Class 11 Permutations and Combinations | 5 questions | about 4 minutes

Practise Permutations and Combinations Class 11 with Teachoo's Assertion Reasoning Quiz (Class 11 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 5
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Question 1 of 5
Assertion (A): \(0! = 1\).

Reason (R): Arranging 0 objects at all is the same as leaving behind all the objects, and there is exactly one way of doing so.
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Question 2 of 5

Assertion: The letters of the word BALLOON can be arranged in \(\dfrac{7!}{2!\,2!}=1260\) distinct ways.


Reason: Interchanging the two L's or interchanging the two O's does not produce a new arrangement.

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Question 3 of 5
Assertion (A): The value of \({}^{15}C_{10}\) is exactly equal to the value of \({}^{15}C_{5}\).

Reason (R): Selecting \(r\) objects out of \(n\) is the same as rejecting \((n-r)\) objects, hence \({}^nC_r = {}^nC_{n-r}\).
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Question 4 of 5
Assertion (A): The number of ways to arrange 3 boys and 2 girls in a row is 120.

Reason (R): The number of permutations of \(n\) different objects taken all at a time is \(n!\).
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Question 5 of 5
Assertion (A): If 10 people meet in a room and each shakes hands with everyone else exactly once, the total number of handshakes is 90.

Reason (R): A handshake occurs between 2 people, so the total number of handshakes among \(n\) people is \({}^nC_2\).
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