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JEE Main Mathematics question

MathematicsPermutations and CombinationsJEE Main

Consider the word ALLAHABAD. Let and represent the number of words formed from the letters of the word ALLAHABAD in which vowels occupy the even positions and the words in which two L are not together, respectively. Find .

Answer: 98

Solution

ALLAHABAD has letters: four times (the only vowels), twice, and once each; the even places are exactly four. Vowels in the even places: the four 's fill them in way, and the consonants

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Question ID VK-020869