Question
Download Solution PDFHow many ways the word 'EQUATION' can be arranged so that all the vowels will always come together?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
n objects can be arranged in n! ways
When two or more objects are taken together they are considered as one object.
Calculation:
The total number of vowels in EQUATION is 5 (E, U, A, I, O)
So, we can consider them as single unity and they can arrange themselves in 5! ways.
Rest 3 consonants along with the vowels together can arrange in 4! ways.
So, the total number of ways the word can be arranged = 4! × 5!
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