Question

Jeremy is painting his room over the
summer. Here are 4 different wall
colors and 3 different trim colors.
How many different ways can he
paint his room?

Answer 1

Answer:

Jeremy has 12 ways of painting his room.

He has 4 different wall colors and 3 different trim colors, so, if we want to know how many ways does he have to paint his room, we only need to multiply:

4 * 3 = 12

That's why he has 12 ways of painting his room. That's because for each of the 4 different wall colors, there are 3 trim colors he can use.

Answer 2

Answer: 12 different ways

Step-by-step explanation:

The question is asking for a combination of a wall color and a trim color because his room required one wall color and one trim color.

In this case, combination will be the number of first kind multiplies with the second kind. This is similar to sketching a tree diagram but instead, we will be using numerical method which will be quicker.

If you are still confused, I will provide some examples.

• You have 5 kind of bread and 4 kind of toppings, there will be 20 different ways to buy a pair (5×4=20)
• You have 5 different shoes, 3 different laces, and 2 different tops, there will be 30 different ways to match (5×3×2=60)

This also applies to your question. You have 4 different wall colors and 3 different trim colors.

4×3=12

You have 12 different ways to paint the room

Hope this helps!! :)

Please let me know if you have any question