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In how many ways the word ASSASSIN can be arranged so that the vowels always comes together?1. 902. 923. 844. 865. 80 |
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Answer» Correct Answer - Option 1 : 90 Given: The word is ASSASSIN containing 3 vowels and 5 consonants. Calculation: If vowels come together, we can assume the three vowels as one single letter. In that case, number of letters in the word = 5 + 1 = 6 Number of ways that can be arranged = 6! / 4! [It contains 4 ‘S’s] Number of ways the vowels can be arranged between themselves = 3! / 2! [It has 2 ‘A’s] Required number of ways = 6! / 4! × 3! / 2! = 90 ways |
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