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Subjects
Class 11MathematicsPermutations and CombinationsCombinationsMedium
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From (10) candidates (3) prize winners are to be selected and the prizes are identical. How many ways are there?

Answer and explanation

Correct answer: 120

Since the prizes are identical, the order of the 3 selected candidates does not matter. Therefore, use combinations: \(\binom{10}{3}=\frac{10\times9\times8}{3\times2\times1}=120\). Hence, the correct answer is 120. The option \(360\) is a permutation-based distractor, but order is not counted when prizes are identical. Exam tip: For identical prizes or objects, usually think of combinations.

Related tags

CombinationsIdentical PrizesSelectionClass 11Permutations And CombinationsMathematicsClass 11 Mcq
सुधार सुझाएँ / Earn

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