In how many different ways can the letters of the word 'TRANSPORT' be arranged the vowels always come together?
Explanation:
Vowels in 'TRANSPORT' are A and O, and they must always be together. Number of arranging A and O together = 2! = 2 ways. Let the group of AO be X.
Now, consonants are 2 T's, 2 R's, N, S and P.
We have to arrange these consonants and X i.e., 8 objects such that there are 2 T's and 2 R's.
Number of ways of doing this = 8! / 2! × 2! = 20160
Hence, option (b).
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