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Kurodin
 3 years ago
Please help! This is a Combinations problem.
In a standard deck of cards, how many 4card hands are there that contain at most 1 heart?
I keep getting 118,807 but the real answer is suppose to be 201, 058. I always get confused with card questions. Can you help me?
Kurodin
 3 years ago
Please help! This is a Combinations problem. In a standard deck of cards, how many 4card hands are there that contain at most 1 heart? I keep getting 118,807 but the real answer is suppose to be 201, 058. I always get confused with card questions. Can you help me?

This Question is Closed

rivermaker
 3 years ago
Best ResponseYou've already chosen the best response.1You can choose one heart in 13 ways and for each of these you can choose 3 nonhearts in \[^{39}C_{3}\] ways. You can choose 4 nonhearts in \[^{39}C_{4}\]. So the answer is \[13 * ^{39}C_{3} + ^{39}C_{4}\]
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