Question 1192417
from the deck of 52 playing cards, how many ways can we choose 10 hearts and 10
diamonds?
<pre>
An alternate way of looking at the problem is to think of what is left behind
after selecting the hearts and diamonds.  Think of this question:

After choosing the 10 hearts and 10 diamonds, how many ways can we be left with a
deck of only 32 cards, consisting of 26 black cards, 3 hearts and 3 diamonds?

We can choose the black cards only 1 way, the 3 hearts C(13,3)=286 ways, and the
3 diamonds C(13,3)=286 ways.

Answer = (1)(286)(286) = 81796 ways.

Edwin</pre>