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 × ²⁰.

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Payal Gupta | Contributor-Level 10

3 months ago

This is a True or False Type Questions as classified in NCERT Exemplar

$\begin{array}{l} N u m b e r o f w a y s t o s e l e c t 3 s c h e d u l e d c a s t e c a n d i d a t e o u t o f 5 = {}_{5}{C_{3}} \\ W e h a v e t o s e l e c t 9 o t h e r c a n d i d a t e o u t o f 22 . \\ S o t h e n u m b e r o f w a y s = {}_{22}{C_{9}} \\ Required n u m b e r o f s e l e c t i o n = {}_{5}{C_{3}} \times {}_{22}{C_{9}} \\ H e n c e, t h e g i v e n s t a t e m e n t i s' F a l s e' . \end{array}$

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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 ways in which the selection can be made is ⁵C₃ × ²⁰.

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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 ways in which the selection can be made is 5C3 × 20.

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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 ways in which the selection can be made is ⁵C₃ × ²⁰.