Roberto has four pairs of trousers, seven shirts, and three jackets. How many different outfits can he put together if an outfit consists of a pair of trousers, a shirt, and a jacket?
He has 4 ways to choose a pair of trousers, 7 ways to choose a shirt, and 3 ways to choose a jacket.
Therefore, answer is \(4\cdot7\cdot3 = 84\).
We could count it out, but that would take a long time.
We could make a pairing tree, but there is an even easier way!
If we just multiply the numbers, we get the total number of outifts! \(4\times 7\times 3=84\).
You are very welcome!
:P