INTERMEDIATE : Not talking about Level. Part-II

I N T E R M E D I A T E \huge INTERMEDIATE How many words can be made with the letters of the word I N T E R M E D I A T E INTERMEDIATE if the vowels and the consonants alternate in the words?


The answer is 43200.

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2 solutions

we can keep the vowels in 6 places in 6!/(2!3!) possible ways i.e.,60 ways we can keep the consonants in 6 places in 6!/2! ways i.e.,360 ways since we have 7 places to place either the vowels or consonants the no. of possible combination gets twice.Hence total no. of combinations=60x360x2=43200

Same process here ! :)

Mahtab Hossain - 6 years ago

เลือกตำแหน่งสระหรือพยัญชนะนำหน้าได้ C(2,1)=2 วิธี สลับพยัญชนะได้ 6!/2! สลับพยัญชนะได้ 6!/(2!3!) จะได้ทั้งหมด 2x360x60=43200

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