Hello, zerobladex!

If a bridge hand consists of 13 cards, how many bridge hands include:

5 cards of one suit, 6 cards of a second suit, and 2 cards of another suit?

First, select 3 of the 4 suits and place them in an order.

[The first suit is the 5-card set, the second is the 6-card set, the third the 2-card set.]

. . There are: . ways.

Then we will choose:

. .

Therefore, there are: .

. . . . . . . . . . . . . .

. . . . . . . . . . . . . .