Question

In how many ways can the letters be arranged so that all the vowels come together: Word is ""IMPOSSIBLE""

Answer 1

Answer:

the impossible words are vowel is i o e this only your answer are you understand

Answer 2

Answer:

30240 ways

Step-by-step explanation:

It is based on permutations and combinations.

nCr = n!⁄((n-r)! r!)

Here,

n = Number of items in set

r = Number of things picked from the group

Vowels are: I,I,O,E

If all the vowels must come together then treat all the vowels as one super letter, next note the letter ‘S’ repeats so we’d use

7!/2! = 2520

Now count the ways the vowels in the super letter can be arranged, since there are 4 and 1 2-letter(I’i) repeat the super letter of vowels would be arranged in 12 ways i.e., (4!/2!)

= (7!/2! × 4!/2!)

= 2520(12)

= 30240 ways

= 30240 ways