Multiple choice general knowledge math & puzzles

How many new word can be formed using all the letters of "CONSULTANCY"?

  1. 11!

  2. 9!

  3. (11! / 4) - 1

  4. (11! / 4)

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The word CONSULTANCY has 11 letters with C and N repeating twice each. Total permutations are 11!/(2!*2!) = 11!/4. To find 'new' words formed, we subtract the original word itself, resulting in (11!/4) - 1. Options 11! and 9! ignore repetitions and length.