Hello, MATHDUDE2!

Here's the way I approached it . . .Can someone please verify my answer?

Because I'm sure I'm doing this question right but the answer at the back differs.

Q: A bridge hand consists of 13 cards.

How many bridge hands include 5 of one suit, 6 cards of a second, and 2 cards of a third?

Isn't the solution: ?

The answer at the back is:

EDIT:

Oh, I just realized that I have to account for the fact that only 3 of the 4 suits are being utilized.

And order is important, so do I multiply the 17, 262,376 by ? . . . . Yes!

There are choices for the first suit.

. . There are: ways to get 5 cards of that suit.

There are choices for the second suit.

. . There are: ways to get 6 cards of that suit.

There are choices for the third suit.

. . There are: ways to get 2 cards of that suit.

Therefore, the number of ways is: .