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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 team containing exactly 3 boys and 3 girls can be selected from 5 boys and 4 girls in 40 ways.


Reason: The 3 boys can be selected from 5 boys in \({}^{5}C_{3}=10\) ways.

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Question 2 of 5
Assertion (A): The number of ways of choosing exactly 1 card from each of the 4 suits (Diamond, Heart, Club, Spade) from a standard deck of 52 cards is \(13^4\).

Reason (R): If an event can occur in \(m\) different ways, following which another event can occur in \(n\) different ways, then the total number of occurrence of the events in succession is \(m \times n\).
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Question 3 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 4 of 5
Assertion (A): The number of 3-letter words that can be formed using the letters A, B, C, D (where repetition is allowed) is 64.

Reason (R): If repetition of letters is not allowed, the number of 3-letter words formed from A, B, C, D is 24.
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Question 5 of 5

Assertion: A chairperson and a vice-chairperson can be chosen from 8 persons in \({}^{8}C_{2}=28\) ways.


Reason: Assigning A as chairperson and B as vice-chairperson is different from assigning B as chairperson and A as vice-chairperson.

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