Answer:
{1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C}
{1C, 2C, 3C}
Step-by-step explanation:
First is all possibilities. Let's do it one step at a time. The first step is the number, what are all the numbers that can be chosen? 1 2 and 3. then, when you pick1, what are all the letters that can be chosen? A B and C. Do this for 2 and 3 and you get all possibilities.
{1A, 1B, 1C, 2A, 2B, 2C, 3A, 3B, 3C}
When you have steps like this you can multiply the number of results to get the total number of possibilities as well. Step one has 3 results, step 2 has 3 results, that means there are 3*3 total, which is 9. Do be careful it matches this kind of setup, where the step 2 is the same for all step 1s. So if instead if you got 1 for step 1 you picked from a bag with 3 things, then for 2 you picked from a different bag with a different number, that multiplication trick wouldn't work.
Now just pick throught he sample space to find all with C. There are three, {1C, 2C, 3C}
