JEE Advanced Mathematics question
The number of words of four letters containing equal number of vowels and consonants, repetition being allowed, is
Answer: (D)
Solution
The English alphabet has 5 vowels and 21 consonants. A 4-letter word with equal numbers of vowels and consonants has exactly 2 vowels and 2 consonants.
- Choose which 2 of the 4 positions hold vowels: . - Fill each vowel position (repetition allowed): . - Fill each consonant position:
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