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Class 11MathematicsPermutations and CombinationsFundamental principle of countingExpert
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A vehicle number has (2) distinct letters and (4) digits. Digits may repeat, but at least one of the first (2) digits must be (5). How many numbers are possible?

Answer and explanation

Correct answer: (26\cdot25\cdot1900)

For at least one (5) in the first two digits, there are (10^2-9^2=19) ways and (100) ways for the remaining two digits. With letters, the total is (26\times25\times19\times100).

Related tags

PermutationsCombinationsCounting PrincipleClass 11ExpertFundamental Principle Of CountingPermutations And CombinationsMathematics
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