how many trucks can you make from 4 models, 5 colors and 3 engines

Answer 1

First, you can choose one of four models.

Then, for each of the four models, you could choose one of five colors. (That's 4*5, or 20 unique pairs of models and colors).

Finally, for each of the 20 pairs of models and colors, you could choose one of three engines. That's 20*3, or 60 unique combinations of models, colors, and engines.

So there are 4 * 5 * 3 unique combinations of models, colors, and engines.

Answer 2

Hi Suzanne B,.

Assuming only a single model used per truck, and a single engine -- up to how many colors may you use, and over what distinctive areas; may you mix colors either in the bulk or as gradations across areas? Will you run out of paint before you paint all the possible trucks you assemble? If you paint the trucks in such good camo that they disappear in the landscape, do they still count? It's just too simple to say 4*5*3 = 60, isn't it ....

-- Cheers, - Mr. d.

Answer 3

Imagine you have two pairs of pants: B(lack) and W(hite) and three shirts: r(ed), b(lue) and g(reen). How many ways could you dress (including ridiculous looking color combinations)?

You could wear the black pants with any one of the three shirts. I'll represent that as Br, Bb and Bg. That's three ways so far.

Or you could wear the white pants with any of the three shirts. That is: Wr, Wb, and Wg. Three more.

In total you have 6 ways. This comes from the 2 pants each being paired with 3 shirts, or 2 times 3.

Now, how many trucks can you make from 4 models and 5 colors?

Once you've answered that question, ask yourself how many trucks you can make from the answer to the previous question and 3 engines.

What did you get?