In how many different ways can the letters of the word BANKING be arranged in such a way that the vowels always come together?
A. 120
B. 240
C. 360
D. 540
E. 720
Answer: Option E
Solution(By Examveda Team)
The given words contains 7 letters of which N is taken 2 times.We keep the vowels (AI) together and treat them as 1 letter.
Thus, we have to arrange 6 letters BNKNG (AI) of which N occurs 2 times and rest are different.
These can be arranged in
$$\frac{6!}{2!}$$ = (6 × 5 × 4 × 3 ) = 360 days
Now 2 vowels (AI) can be arranged among themselves in 2 ways.
∴ Required number of ways = (360 × 2) = 720
Related Questions on Permutation and Combination
A. 3! 4! 8! 4!
B. 3! 8!
C. 4! 4!
D. 8! 4! 4!
A. 7560,60,1680
B. 7890,120,650
C. 7650,200,4444
D. None of these
A. 8 × 9!
B. 8 × 8!
C. 7 × 9!
D. 9 × 8!
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