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A school ID has (3) digits followed by (2) letters. Digits may repeat and letters are distinct. If the three digits cannot all be identical and the first letter must be a vowel, how many IDs are possible?

Answer and explanation

Correct answer: (128260)

The digit part has (10^3-10) choices. For letters, the first has (5) vowel choices and the second has (25) choices.

Related tags

PermutationsCombinationsCountingHardFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq

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