document.write( "Question 1197303: Five cards are drawn frm an ordinary deck of 52 cards. In how many ways is it possible to draw two red cards and three black cards \n" ); document.write( "

Algebra.Com's Answer #830527 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "Number of ways to draw 2 of the 26 red cards: \"26 choose 2\".
\n" ); document.write( "Number of ways to draw 3 of the 26 black cards: \"26 choose 3\".

\n" ); document.write( "Number of ways to do both: \"26 choose 2\" times \"26 choose 3\".

\n" ); document.write( " $\"C%2826%2C2%29%2AC%2826%2C3%29\"$

\n" ); document.write( " $\"%28%2826%2A25%29%2F%282%2A1%29%29%2A%28%2826%2A25%2A24%29%2F%283%2A2%2A1%29%29\"$

\n" ); document.write( " $\"325%2A2600+=+845000\"$

\n" ); document.write( "ANSWER: 845,000 ways

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