Posted by Bri on .
Hi, can I have some help with my permutation/combination homework?
"Find the number of 5card hands that contain the cards specified."
1. five red cards
2. five cards, none are number cards
3. five cards of the same suit

Algebra 
Reiny,
1. there are 13 red cards, you want 5 of those
number of hands with 5 red = C(13,5) = 1287
2. there are 16 nonnumber cards ,
number of 5 card hands from that is
C(16,5)
= 4368
3. could be 4 different suits, in #1 we did the reds
so in this case it would be 4xC(13,5) = 4(1287) = 5148