# Thread: Calculating poker hands help

1. ## Calculating poker hands help

In the game of poker a player receives a subset of 5 cards, called a poker hand, fromthe standard deck of 52 cards. The order in which the cards are received is not important,just the actual cards themselves.

(a) How many poker hands contain 5 hearts?
(b) How many poker hands contain exactly 3 hearts?
(c) How many poker hands contain 2 clubs and 3 spades?
(d) How many poker hands contain exactly two suits

2. ## Re: Calculating poker hands help

Originally Posted by inayat

In the game of poker a player receives a subset of 5 cards, called a poker hand, fromthe standard deck of 52 cards. The order in which the cards are received is not important,just the actual cards themselves.

(a) How many poker hands contain 5 hearts?
(b) How many poker hands contain exactly 3 hearts?
(c) How many poker hands contain 2 clubs and 3 spades?
(d) How many poker hands contain exactly two suits
Again $\mathcal{C}^N_j$ is the number of combinations of $N$ things taken $j$ as a time.
(a) $\mathcal{C}^{13}_5$. Now you explain why and show some effort on others.