how may different words ca be formed from the letters of the word INTERFERENCE if no two consonants are to - Maths - Permutations and Combinations

Question

how may different words ca be formed from the letters of the word
INTERFERENCE if no two consonants are to be together

Rishabh Mittal · Accepted Answer

INTERFERENCEThere is 5 vowels:- I,E,E,E,E7 consonants:-N,T,R,F,R,N,CThere are 6 spaces to place consonats 
 so that they are not together
But , we have to place 7 consonants
Therefore , no word can be formed , two consonants are not together

how may different words ca be formed from the letters of the word INTERFERENCE if no two consonants are to be together