Question

How many arrangements can be made with the letters of word CALCULATOR?
In how many of these arrangements,
vowels occur together?​

Answer 1

Answer:

Answer

In the word 'MATHEMATICS', we treat the vowels AEAI as one letter. Thus, we have MTHMTCS (AEAI). Now, we have to arrange 8 letters, out of which M occurs twice, T occurs twice and the rest are different. ∴ Number of ways of arranging these letters = 8!

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