JAMB 2012 · UTME · Q48

In how many ways can the letters of the word TOTALITY be arranged?

Worked solution (try it first)

TOTALITY has 8 letters, so start with $8! = 40\,320$ .
T appears 3 times (T, O, T, A, L, I, T, Y) and every other letter once, so divide by $3! = 6$ .
$40\,320 \div 6 = 6720$ , option A.