if u are dealt 5 cards what is the possible way of getting a pair which a pair can be a 2 and a 3

Printable View

- Jun 18th 2008, 08:17 AMrobkitchnumber of pairs
if u are dealt 5 cards what is the possible way of getting a pair which a pair can be a 2 and a 3

- Jun 18th 2008, 08:35 AMjanvdl
- Jun 18th 2008, 08:41 AMSoroban
Hello, robkitch!

Your English is not quite readable . . .

Quote:

if u are dealt 5 cards what is the possible way of getting a pair which a pair can be a 2 and a 3

We want five cards: one Deuce, one Trey, and three Others.

To get one Deuce, there are: $\displaystyle {4\choose1} = 4$ ways.

To get one Trey, there are: $\displaystyle {4\choose1} = 4$ ways.

To get three Others, there are: $\displaystyle {44\choose3} = 13,244$ ways.

Therefore, there are: .$\displaystyle 4 \times 4 \times 13,244 \:=\:\boxed{211,904\text{ ways}}$