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What are the different ways in which letters of the word "PARROT" can be arranged in such a way that the vowels always come together?

What are the different ways in which letters of the word "PARROT" can be arranged in such a way that the vowels always come together? Correct Answer 120 ways

Given:

A word "PARROT" with has 5 letters from which 4 consonants and 2 vowels.

Formula used:

Factorial n! = n × (n - 1) × ..... × 3 × 2 × 1

Calculation:

The arrangement is made in such a way that the vowels always come together. 

⇒ "PRRT(AO)"

Considering vowels as one letter, 5 different letters can be arranged in 5! ways.

We have two "R" also = 5!/2!

⇒ 5!/2! = 60 ways 

The vowels "AO" can be arranged themselves in 2! ways.

⇒ 2! = ways 

Required number of ways = 60 × 2 = 120 ways.

∴ "PARROT" can be arranged in such a way that the vowels always come together for that we have 120 ways.

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