In how many ways can the letters of the word ‘ALGEBRA’ be arranged without changing the relative order of the vowels and consonants?

Asked by Aaryan | 1 year ago |  50

Solution :-

Given:

The word ‘ALGEBRA’

There are 4 consonants in the word ‘ALGEBRA’

The number of ways to arrange these consonants is 4P4 = 4!

There are 3 vowels in the word ‘ALGEBRA’ of which, 2 are A’s

So vowels can be arranged in = $$\dfrac{3! }{ 2!}$$ Ways

Hence, the required number of arrangements = 4! × ($$\dfrac{3! }{ 2!}$$)

= 4×3×2×1×3 = 72

Answered by Sakshi | 1 year ago

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