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Class 11MathematicsPermutations and CombinationsPermutationsExpert
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(7) distinct prizes are assigned to (7) students. How many assignments have exactly (2) prizes going to their designated students?

Answer and explanation

Correct answer: (1854)

Choose the (2) correctly assigned prizes in (\binom{7}{2}) ways and derange the remaining (5), giving (!5=44). Exam tip: use derangement for exactly correct cases.

Related tags

PermutationsDerangementAssignmentClass 11Permutations And CombinationsMathematicsClass 11 Mcq
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