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

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Question 1 of 5
Question 1 of 5
NCERT Exemplar
Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to
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Question 2 of 5
NCERT Exemplar
The number of 5-digit telephone numbers having atleast one of their digits repeated 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: The number of 4-digit security codes formed from the digits 0 to 9, with repetition allowed but with the first digit non-zero, is 9000.


Reason: The first position has 9 choices, while each of the remaining three positions has 10 choices; hence the total is \(9\times 10\times 10\times 10\).

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Question 5 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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