You can put this solution on YOUR website! Half the cards in a 52 card deck are red (either hearts or diamonds)
There are 26 choices for the 1st card
There are 25 choices for the 2nd card
There are 24 choices for the 3rd card
There are 23 choices for the 4th card
There are 22 choices for the 5th card
Note that each time you draw a card, you reduce the
number of available red cards by 1
Now how many possible hands are there? is the answer