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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A (5)-letter string is formed from (A,B,C,D). Each letter must appear at least once. How many such strings are possible?

Answer and explanation

Correct answer: (240)

One letter must repeat, so the repeated letter can be chosen in (4) ways and the positions arranged in (5!/2!) ways. The total is (4\times60=240).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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