Hello, thyrgle!

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.