has 10 basketballs, each of a different colour. She only has time to shoot 5 hoops before going to bed. How many different arrangements can the balls be thrown into the hoops? 120 3,628800 30,240 252

## Step 1: Understanding the Problem### The problem asks for the number of different arrangements of 10 distinct basketballs when choosing 5. This is a permutation problem since the order matters.## Step 2: Applying the Permutation Formula### The formula for permutations is , where is the total number of items and is the number of items chosen. In this case, and . So, we have .