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Short Quiz

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

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Question 1 of 5
Question 1 of 5
All the letters of the word 'EAMCOT' are arranged in different possible ways. The number of such arrangements in which no two vowels are adjacent to each other is
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Question 2 of 5
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Every body in a room shakes hands with everybody else. The total number of hand shakes is 66 . The total number of persons in the room is
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Question 3 of 5
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 4 of 5

Assertion: Using the digits 0, 1, 2, 3, 4 and 5 without repetition, exactly 100 three-digit numbers can be formed.


Reason: The count \({}^{6}P_{3}=120\) includes \({}^{5}P_{2}=20\) arrangements beginning with 0, which must be removed.

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Question 5 of 5
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The number of different four digit numbers that can be formed with the digits 2 , 3, 4, 7 and using each digit only once is
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