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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

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 2 of 10
NCERT Exemplar
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 3 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 4 of 10
NCERT Exemplar
Ten different letters of alphabet are given. Words with five letters are formed from these given letters. Then the number of words which have atleast one letter repeated is
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Question 5 of 10
The straight lines \(l_1, l_2\) and \(l_3\) are parallel and lie in the same plane. A total numbers of \(m\) points are taken on \(l_1 ; n\) points on \(l_2, k\) points on \(l_3\). The maximum number of triangles formed with vertices at these points are
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Question 6 of 10

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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Question 7 of 10

How many 4-letter codes can be formed using the letters A, B, C, D, E, F and G if no letter is repeated?

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Question 8 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 9 of 10

Assertion: When all distinct arrangements of the letters of AGAIN are written in dictionary order, the 50th word is NAAIG.


Reason: There are 24 words beginning with A, 24 beginning with G and 24 beginning with I; therefore, 72 words occur before the first word beginning with N.

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Question 10 of 10
NCERT Exemplar
The number of possible outcomes when a coin is tossed 6 times is
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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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