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Chapter 6 Class 11 Permutations and Combinations | 5 questions | about 4 minutes

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Question 1 of 5
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Question 1 of 5
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If \({ }^n \mathrm{C}_{12}={ }^n \mathrm{C}_8\), then \(n\) is equal to
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Question 2 of 5

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 3 of 5

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 4 of 5
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The number of ways in which a team of eleven players can be selected from 22 players always including 2 of them and excluding 4 of them is
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Question 5 of 5
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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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