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Subjects
Class 11MathematicsPermutations and CombinationsFundamental principle of countingHard
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A code has first (2) distinct uppercase letters, then (2) vowels and (1) digit. If both vowels are the same, the digit must be even, and if the vowels are different, any digit is allowed. How many codes are possible?

Answer and explanation

Correct answer: (146250)

Letters have (26\times25) choices, and the vowel-digit part is formed in (5\times5+5\times4\times10=225) ways. Handle the dependent condition by vowel cases.

Related tags

Permutations-And-CombinationsFundamental-PrincipleCountingHardFundamental Principle Of CountingPermutations And CombinationsMathematicsClass 11 Mcq
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