Question

How many different word can be formed from the letter of the words 'interference' if no two consonant are to be together?

Answer 1

Since the options are not given,  I am giving a general answer.

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

Answer 2

Step-by-step explanation:

It is not possible having no consonant together .It can’t be done. It’s impossible. Interference has 5 vowels and 7 consonants.

Suppose you have 5 apples and 7 oranges. Can you put them in a row that alternates between apples and oranges? Nope. Try starting the row with an orange, then add an apple, then an orange. And keep going. Eventually you have a row with 5 apples and 6 oranges. You have nowhere to put the seventh orange.

The same holds for 5 vowels and 7 consonants

If there are options having none then none is correct option.