Teachoo Quiz

Assertion Reasoning Quiz

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

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Question 1 of 5
Question 1 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 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 (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): A committee of 3 members is to be formed from 3 boys and 2 girls. The number of ways to form this committee such that it contains at least one girl is 9.

Reason (R): The number of combinations with "at least one" restriction can be calculated by subtracting the number of combinations with "none" from the "total" possible combinations without restriction.
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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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