A) \[^{5}{{C}_{3}}{{\times }^{22}}{{C}_{9}}\]
B) \[^{22}{{C}_{9}}{{-}^{5}}{{C}_{3}}\]
C) \[^{22}{{C}_{3}}{{+}^{5}}{{C}_{3}}\]
D) None of these
Correct Answer: A
Solution :
The selection can be made in \[^{5}{{C}_{3}}{{\times }^{22}}{{C}_{9}}\]. {Since 3 vacancies filled from 5 candidates in \[^{5}{{C}_{3}}\] ways and now remaining candidates are 22 and remaining seats are 9}.
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