Question 1

How many different letter arrangements can be made from the letter of the word EXTRA in such a way that the vowels are always together?

Solution

Considering two vowels as one unit ,total number of units = 4

Number of way of arranging these 4 units = 4! = 24 ways

2 vowels can be internally arranged in 2! ways 2 ways

Therefore total number of ways = 24*2 =48 ways.

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