The number of words that can be formed from letters of the word intermediate in which no two vowels are together is
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it contains 2 words.They are In and Term which do not contain two vowels.
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Answer:
Total number of vowels =6
Total number of consonants =6
Total number of letters in the word INTERMEDIATE =12
Number of ways of arranging the consonants of which two are alike =6!/2! = (6*5*4*3*2)/2*1 = 360
Number of ways of arranging the vowels =⁷P₆*1/3!*1/2! = 7!/1!*1/3!*1/2! = (7*6*5*4*3!)/ (3!*2) = 420
Total number of ways =420*360 = 151200
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