SOLUTION: Find the number of ways to draw a six-card hand with three cards of one suit and three cards of a second suit.
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Question 352504: Find the number of ways to draw a six-card hand with three cards of one suit and three cards of a second suit. Answer by robertb(5830) (Show Source):
You can put this solution on YOUR website! First, choose 2 out of 4 possible suits.
You can do this C(4,2) ways.
Once you have fixed the two suits, choose 3 out of 13 possible cards from one suit.
You can do this in C(13,3) ways.
For the other suit, you can choose 3 out of 13 cards also in C(13,3) ways.
Therefore the total number of ways of drawing 3 cards of one suit and 3 cards of another suit is =6*286*286=490,776
