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Maths Permutations and Combinations Class 11 MCQ and Assertion Questions

10 Question MCQ (including Assertion) · Class 11 · Maths · CBSE

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Chapter 6 Class 11 Permutations and Combinations | 10 questions | about 8 minutes

Practise Permutations and Combinations Class 11 with Teachoo's 10 Question MCQ (including Assertion) (Class 11 · Maths · CBSE). Practise these questions in a free interactive quiz with answer feedback.

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Question 1 of 10
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Question 1 of 10
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The sum of the digits in unit place of all the numbers formed with the help of 3, 4, 5 and 6 taken all at a time is
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Question 2 of 10
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The number of triangles that are formed by choosing the vertices from a set of 12 points, seven of which lie on the same line is
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Question 3 of 10

A school wants to assign two distinct duties—stage manager and timekeeper—to two different students from a group of \(n\) students. If this can be done in 72 ways, then \(n\) equals

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Question 4 of 10

Assertion: The letters of DAUGHTER can be arranged in 4320 ways if all three vowels are together.


Reason: Since all eight letters of DAUGHTER are distinct, their total number of unrestricted arrangements is \(8!\).

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Question 5 of 10

Assertion: Using the digits 1, 2, 3, 4, 5 and 6 without repetition, 60 different 3-digit even numbers can be formed.


Reason: Since the digits are not repeated and their order matters, the problem involves permutations.

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Question 6 of 10
NCERT Exemplar
In how many ways a committee consisting of 3 men and 2 women, can be chosen from 7 men and 5 women?
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Question 7 of 10
The number of signals that can be sent by 6 flags of different colours taking one or more at a time is
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Question 8 of 10
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 \({}^nC_2 - {}^mC_2\).
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Question 9 of 10
NCERT Exemplar
The total number of 9 digit numbers which have all different digits is
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Question 10 of 10

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.

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This 10 Question MCQ (including Assertion) covers Permutations and Combinations Class 11 for Class 11 · Maths · CBSE. Practise the questions in the interactive quiz and check your answers.

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