Question

find the number of arrangements that can be made out of the letters of the word REALITY so that all vowels occur together

Answer 1

Answer:

5!×3!

Step-by-step explanation:

Given

all vowels occur together

vowels are E, A, I

therefore consider E,A,I as one unit.

here 4 words remain besides vowels.

So we must arrange 1 unit and 4 letters.

They can be arranged in 5! ways.

But vowels they themselves can be arranged in 3! ways.

Therefore required answer is 5!×3!