There is a pack of 52 cards and it is required to find the total number of 4 card hands that can be dealt.
So 4 cards needs to be selected out of 52.
Hence the total number is given by:
[tex]\begin{gathered} _{52}C_4=\frac{52!}{4!(52-4)!} \\ =\frac{52\times51\times50\times49\times48!}{4\times3\times2\times48!} \\ =270725 \end{gathered}[/tex]
Hence the total number of four card poker hand is 270,725.
