How many 7 letter words can be formed such that all the vowels are together?
Explanation:
There are three vowel in JOURNEY i.e., E, O and U.
All three vowels are together. Let’s call the group of vowels as X.
⇒ We have 5 letters i.e., J R N Y X which can be arranged in 5! = 120 ways.
For each of these 120 arrangements, internal arrangement of vowels in X can be done in 3! = 6 ways.
∴ Number of words that can be formed such that all the vowels are together = 120 × 6 = 720 ways.
Hence, 720 ways.
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