Teachoo MCQ Test

Assertion Reasoning Quiz

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
Question 1 of 5
Assertion (A): There are 10 points in a plane, out of which exactly 4 are collinear. The total number of distinct straight lines that can be drawn through these points is 40.

Reason (R): The number of straight lines formed by \(n\) points out of which \(m\) are collinear is given by \({}^nC_2 - {}^mC_2\).
Select one option. Answers are shown after the test.
Question 2 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 3 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 4 of 5

Assertion: \({}^{4}P_{4}=24\).


Reason: \({}^{4}P_{4}=\dfrac{4!}{(4-4)!}=\dfrac{4!}{0!}=0\).

Select one option. Answers are shown after the test.
Question 5 of 5
Assertion (A): \({}^{10}C_4 + {}^{10}C_5 = {}^{11}C_5\).

Reason (R): For any natural numbers \(n\) and \(r\), Pascal's identity holds true: \({}^nC_r + {}^nC_{r-1} = {}^{n+1}C_r\).
Select one option. Answers are shown after the test.