Question

In how many ways can the letter of the words nature be arranged so that the vowels are always together

Answer 1

Now, the 6 letters can be arranged in 6! = 720 ways and the 3 vowels can be arranged among themselves in 3! = 6 ways. Hence, required number of arrangements of the letters in software so that the vowels are always together is 720 x 6 = 4320.

Answer 2

Answer:

144

take 3 vowel as one character

4!×3!