Question

In a game, 10 red and 10 black cards are placed in a hat. A player draws 3 cards. Find the number of combinations for drawing 1 red and 2 black?

Answer 1

anybody?

Answer 2

Is more information given? Like are the cards all the same, 10 identical black and 10 red, or are we talking playing cards?

Answer 3

Either way the simplest way to solve this is just make a list of the possible combinations, there aren't going to be that many. I'll start one, and you finish it.

Answer 4

There are 10 ways of drawing one red card. Each of these 10 ways can be combined with each of the number of combinations of black cards taken 2 at a time. Therefore the total number of combinations is given by:
\[10C1\times10C2=450\]