[size=3]Hello, JTG2003!

We want a Triple and a Pair.A poker hand consists of 5 cards dealt from a deck of 52 distinct cards.

7. In how many ways a full house (3 of one type of card and 2 of another) be dealt?

. .

There are 13 choices for the value of the Triple.

There are: . ways to get the Triple.

There are 12 choices for the value of the Pair.

There are: . ways to get the Pair.

Therefore, there are: . ways to get a Full House.

The deck contains 4 Aces and 48 Others.8. How many different hands contain exactly 3 aces?

. .

. . We want 3 Aces and 2 Others.

There are: . ways to get 3 Aces.

There are: . ways to get 2 Others.

Therefore, there are: . ways to get exactly 3 Aces.