Question

How many different five letter permutations can be formed from the letters of the word "DITTO"?

Answer 1

5 letters = 5!
Since there are two Ts
5!/2 = 60

Answer 2

Let's do it like slots.
5 * 4 * 3 * 2 * 1
But, T is twice, and it can be arranged in 2 different ways, so it'd be:

\(\Large \color{Black}{\Rightarrow {5 * 4 * 3 * 2 \over 2} }\)

\(\Large \color{Black}{\Rightarrow {5 * 4 * 3} }\)

\(\Large \color{Black}{\Rightarrow 60 \text{ ways. } }\)

Answer 3

Yup