How many ways can a hand of five cards be drawn from a standard deck
consisting of four cards from one suit and one card from another suit?
We want a foursome and a singleton.
There are 4 choices for the suit of the foursome.
. . And there are: . 715 choices for the four cards.
There are 3 choices for the suit of the singleton.
. . And there are: . 13 choices for the singleton.
Therefore, there are: . possible hands.