



 
Sean, Actually, it's the first part where the problem is. But you're fairly close I think, so I'll make the hint not too detailed. Try working out the corresponding two problems when the hand should have four cards of one type and three of the other. It should become obvious what's wrong  and what the number you've computed actually represents! Good hunting!
 


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 