Question

In how many ways can the letters of the word 'banking' be arranged, such that vowels do not come together?

Answer 1

Answer:

plzzz give me brainliest ans and plzzzz follow me

Answer 2

Answer:

Step-by-step explanation:

In how many different ways can the letters of the word 'banking' be arranged so that the vowels always come together?

There are 2 vowels a and I, which can be clubbed together in 2 ways ( ai and ia)

After clubbing they can be treated as a single letter say 'z'

Now we are left with 6 letters z,b,n.k,n,g

The number of words that can be formed by permutation = 6! = 720

Considering number of ways of z (ai and ia) being 2, this becomes 1440 ways

Now the catch is the letter 'n' appears twice in each of these 1440 words.

Because of this, we get duplicate word for each word

If the duplicates are eliminated we get half of 1440, that is 720 unique words