Find the number of ways of arranging letters of the word mathematical. How may of these arrangements have all vowels together?
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Step-by-step explanation: Here we have 12 letters in word MATHEMATICAL so 12!
We have 3 As so 3! and 2 vowels are remaining E and I so first we can write it as EI which is 2! and IE which we can write as 2! Therefore, No of ways = 12!/3!2!2!
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8!/2!.2!×5!/3!
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