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How many different words can be formed by using the letters of the word LUCKNOW so that the vowels are always together?
- A1400
- B1040
- C2160
- D720
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Discussion 1
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CCommunity
In the word LUCKNOW, we treat the vowels UO as one letter.
Thus we have, LCKNW (UO) total 6 letters.
There is no repetition of letters.
∴ Number of ways to arrange these letters = 6! = 720
Now, the 2 vowels can be arranged is = 2! = 2 ways
∴ Total no. of arrangements = 720 × 2 = 1440 ways
Thus we have, LCKNW (UO) total 6 letters.
There is no repetition of letters.
∴ Number of ways to arrange these letters = 6! = 720
Now, the 2 vowels can be arranged is = 2! = 2 ways
∴ Total no. of arrangements = 720 × 2 = 1440 ways