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To fill 12 vacancies there are 25 candidates of which 5 are from scheduled castes. If 3 of the vacancies are reserved for scheduled caste candidates while the rest are open to all, the number of w - Mathematics

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Question

To fill 12 vacancies there are 25 candidates of which 5 are from scheduled castes. If 3 of the vacancies are reserved for scheduled caste candidates while the rest are open to all, the number of ways in which the selection can be made is 5C3 × 20C9.

Options

  • True

  • False

MCQ
True or False

Solution

This statement is False.

Explanation:

Number of ways to select 3 scheduled caste candidate out of 5 = 5C3

We have to select 9 other candidates out of 22.

So the number of ways = 22C9

Required number of selection = 5C3 × 22C9

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Chapter 7: Permutations and Combinations - Exercise [Page 127]

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NCERT Exemplar Mathematics [English] Class 11
Chapter 7 Permutations and Combinations
Exercise | Q 59 | Page 127

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