Question

How many arrangements can be made out of the letters of the word INTERFERENCE so that no two consonant are together?

Answer 1

Step-by-step explanation:

=>There are 5 vowels in the 'Interference', i.e,  - I, e, e,

   There are 7 consonants in the word - N, T, R, F, R, N, C.

So , if no two consonants should be together, then it should be placed in between the vowels. So, only 6 consonants can be placed that way. But there are 7 consonants in the given word. So, there should be at least 1 instance where 2 consonants will come together. Else, there will be no words formed when two consonants should not be together.

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