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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A name plate uses (2) distinct symbols and (3) distinct letters. (5) symbols and (8) letters are available. If the first two places are for symbols and the next three are for letters, how many name plates are possible?

Answer and explanation

Correct answer: (6720)

Symbols can be arranged in (5\times4) ways and letters in (8\times7\times6) ways. The total is (5\times4\times8\times7\times6=6720).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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