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Class 11MathematicsPermutations and CombinationsCombinationsExpert
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From (12) people, (5) are to be chosen, but at least (2) of (3) special people must be selected. How many selections are possible?

Answer and explanation

Correct answer: (225)

Cases are (2) special and (3) others, or (3) special and (2) others. The value is (^{3}C_{2}{}^{9}C_{3}+^{3}C_{3}{}^{9}C_{2}=288).

Related tags

AtleastSpecialSelectionCombinationsPermutations And CombinationsMathematicsClass 11 Mcq
सुधार सुझाएँ / Earn

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10 more MCQs
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  2. 2A student chooses one subject from 3 subjects and one game from 5 games. How many different selections are possible in total?
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  4. 4An examination contains 6 short-answer questions and 4 long-answer questions. A student has to solve exactly one of them. In how many ways can the student choose the question?
  5. 5A meal plate offers 2 bread choices, 3 vegetable choices, and 2 dessert choices. In how many ways can a plate be prepared by choosing one item from each category?
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  8. 8A bag has 6 red and 5 blue balls. Four balls are to be selected with equal numbers of both colours. How many selections are possible?
  9. 9If \(\frac{(n+2)!}{(n-2)!}=3024\), what is the value of \(n\)?
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