In the word “ENGINEERING” if all E’s are not together and N’s come together then number of permutations is
9!2!2!−7!2!2!
9!3!2!−7!2!2!
9!3!2!2!−7!2!2!2!
9!3!2!2!−7!2!2!
Total = permutations when 3E’s are not together – (when 3E’s and 3N’s are together) =9!3!2!2!−7!2!2!