x Turn on thread page Beta
 You are Here: Home >< Maths

# Counting (cards) help watch

1. From a pack of 52 cards, how many 13 card hands are there with c clubs, d diamonds, h hearts and s spades (c+d+h+s = 13)?

I'm really not sure how to do this.
2. How many 'c' card hands are there with c clubs?

Note that your 13 card hand is just a collection of 4 smaller hands, one for each suit.
3. (Original post by DFranklin)
How many 'c' card hands are there with c clubs?

Note that your 13 card hand is just a collection of 4 smaller hands, one for each suit.
So is it

?
4. I believe so, yes.
5. yeah, thats definitely right

look up the hypergeometric distribution, its very useful for 'no replacement' problems like this. if you want the probability of getting those amounts of cards a b c and d from the corresponding suits just divide by 52C13

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: August 14, 2010
Today on TSR

### Happy St Patrick's day!

How are you celebrating?

### Stay at sixth form or go to college?

Discussions on TSR

• Latest
Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest

The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE