SOLUTION: How many 5-card poker hands consisting of two 4's and three cards that are not 4's are possible in a 52-card deck?

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Question 745269: How many 5-card poker hands consisting of two 4's and three cards that are not 4's are possible in a 52-card deck?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There are 4 C 2 = 6 ways to pick 2 'four' cards

There are 48 C 3 = 17296 ways to pick 3 cards that aren't 'four' cards

In total, there are 6*17296 = 103776 ways to have a 5-card hand where 2 of the cards are 'four' cards while the other 3 cards aren't 'four' cards.