SOLUTION: from a standard deck oof 52 cards. How many 5 card hands of red are there?

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Question 1054448: from a standard deck oof 52 cards. How many 5 card hands of red are there?
Answer by LinnW(1048) About Me  (Show Source):
You can put this solution on YOUR website!
There are 13 diamonds and 13 hearts = 26 red cards
The combinations of 5 objects taken from 26 objects is
%2826%21%29%2F+%285%21%2826-5%29%21%29+
= %2826%21%29%2F+%285%21%2821%29%21%29+
= %2826%2A25%2A24%2A23%2A22%2A%2821%29%21%29%2F+%285%21%2821%29%21%29+
We can now cancel out %28%2821%29%21%29%2F+%2821%29%21
= %2826%2A25%2A24%2A23%2A22%29%2F5%21
= %2826%2A25%2A24%2A23%2A22%29%2F%285%2A4%2A3%2A2%2A1%29
Notice 25 factors to 5*5, 24 factors to 4*3*2 so substituting,
= %2826%2A5%2A5%2A4%2A3%2A2%2A23%2A22%29%2F%285%2A4%2A3%2A2%2A1%29
Simplifying,
= %2826%2A5%2A23%2A22%29%2F%281%29
= 65780