Step by step
The question
Question: There are 3 shirts and 4 pants.
How many outfits can be made with one of each?
1 Count the choices
2 Multiply
Each of the 3 shirts goes with 4 pants.
So we multiply: 3 × 4.
outfits = 3 × 4
This is the counting principle: multiply the number of choices.
counting principle:
multiply the choices
3 groups of 4: that is 3 times 4.
4 + 4 + 4 = 3 × 4
Careful!
We do not add the choices.
Every choice goes with every other one, so we multiply.
Careful: not 3 + 4 = 7 ✗
3 times 4 is 12.
3 × 4 = 12
So there are 12 outfits.
outfits = 12
3 Check
Let's check: 12 divided by 3 is 4.
That gives back the 4 choices.
So the answer is right!
12 ÷ 3 = 4
Let's look back.
First: count the choices.
Then: multiply.
Last: check.
Answer
outfits = 12