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