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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
Assertion (A): If \({}^nC_x = {}^nC_y\) and \(x \neq y\), then \(n = x - y\).

Reason (R): The formula for complementary combinations states that \({}^nC_r = {}^nC_{n-r}\).
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Question 3 of 10
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The number of 5-digit telephone numbers having atleast one of their digits repeated is
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Question 4 of 10
Assertion (A): The number of ways to arrange the letters of the word "ROSE" such that the vowels (O, E) are always together is 12.

Reason (R): When specific objects must occur together, they are treated as a single object for the arrangement, and then arranged internally among themselves.
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Question 5 of 10

A suitcase has a 4-wheel number lock using the digits 0 to 9. The correct code has no repeated digit. The first digit is known to be 7, as shown below. How many possible settings remain to be checked?

Four-wheel number lockThe first wheel is fixed at 7 and the other three wheels are unknown.7???

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Question 6 of 10
NCERT Exemplar
The number of possible outcomes when a coin is tossed 6 times is
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Question 7 of 10
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 8 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 9 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 10 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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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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