### Home > CCG > Chapter 10 > Lesson 10.3.1 > Problem10-114

10-114.

A Scrabble® player has four tiles with the letters A, N, P, and S.

1. How many arrangements of these letters are possible?

$4! = 24$

2. Draw a tree diagram that shows how to get the arrangements and explain how a decision chart represents the tree.

There are four decisions to make, but not every decision has the same number of available choices to pick from.

3. What is the probability of a two-year-old randomly making a word using the four letters?

Those tiles can be used to spell PANS, NAPS, SNAP and SPAN.