Question

In how many ways can the letters of the word, ‘keyboard' be arranged in such away that the vowels always come together

Answer 1

Given : word, ‘keyboard'  

To Find :  number of ways such that letters of the word, ‘keyboard' be arranged in such away that the vowels always come together

Solution:

keyboard

- Total 8 Letters

Vowels  =  e o a    = 3

Consonants  k y b r d  = 5

vowels always come together

Lets take group of vowels as 1

Hence 1 + 5  = 6 Letters

6 letters can be arranged in 6!  = 720 Ways

now group of vowels can be arranged in 3!  = 6 Ways

Total possible = 720 x 6

=> Total possible = 4,320

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