Question 617218
 Find the number of ways of choosing a hand of seven cards from a standard deck of cards consisting of four cards from one suit and three cards from another suit.
<pre>
Pick the suit to get the 4 cards from in 4 ways.
Pick the suit to get the 3 cards from in 3 ways.
Pick the 4 cards from the first suit in 13C4 ways.
Pick the 3 cards from the second suit in 13C3 ways.

Answer = 4·3·13C4·13C3 = 2453880 ways.

Edwin</pre>