Question

9. In how many ways can the letters of the word
'HEXAGON' be permuted ? In how many words,
vowels will be together?​

Answer 1

Step-by-step explanation:

The given word contains 7 letters, which may be arranged themselves in 7! = 5040 ways. <br> The given word contains 3 vowels and 4 consonants. <br> Taking the 3 vowels EAO as one letter, this letter and 4 more letters can be arranged in 5! = 120 ways. <br> The 3 vowels can be arranged among themselves in 3! = 6 ways. <br> Required number of arrangements with vowels together