Question
In how many different ways can the letter of the word
WELCOME is arranged so that vowels always occur together?Solution
Number of letters in ‘WELCOME’ = 7 Number of vowels = (E, O, E) = 3!/2! Number of consonants = (W, L, C, M) = 4! Now, consider the number of vowels together as one and vowels can be arranged in 3! So total number of ways = 5! × (3!/2!) = 360
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