Teachoo MCQ Test

Assertion Reasoning Quiz

Preparing for CBSE

Chapter 6 Class 11 Permutations and Combinations | 5 questions

Timed test. Answer every question before time runs out. Correct answers and solutions appear after submission.
Time remaining 480
Question 1 of 5
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Question 1 of 5

Assertion: If \({}^{n}C_{8}={}^{n}C_{2}\), then \(n=10\) and \({}^{n}C_{2}=45\).


Reason: If \({}^{n}C_{r}={}^{n}C_{s}\) and \(r\neq s\), then \(r+s=n\).

Select one option. Answers are shown after the test.
Question 2 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 \(n!\).
Select one option. Answers are shown after the test.
Question 3 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.

Select one option. Answers are shown after the test.
Question 4 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 \({}^nC_2\).
Select one option. Answers are shown after the test.
Question 5 of 5

Assertion: A 3-member committee can be selected from 8 persons in \({}^{8}C_{3}=56\) ways.


Reason: In a committee, selecting A, B and C gives the same committee regardless of the order in which they are selected.

Select one option. Answers are shown after the test.