Combinations & Permutations

[rjacobs1]

Question: If 2 cards are removed from a deck of 52. A) How many combinations of 2 hearts are possible? B) How many combination of 2 kings are possible?
I've seen the solutions for a full deck but not a partial deck. I don't know how to set up the formula for Comb. for a partial deck. Thanks much to all!

 

[stapel]

Until you know whether or not hearts or kings were included in the two cards removed, I don't see how this can be answered. (Once that's know, though, you would use the exact same reasoning as for working with a regular deck.)

Please consult with your instructor regarding the missing information. Thank you!

 

[pka]

Question: If 2 cards are removed from a deck of 52. A) How many combinations of 2 hearts are possible?

N= “Neither of the two cards removed is a heart”.
O= “Exactly one of the two cards removed is a heart”.
B= “Both of the two cards removed are hearts”.
Now you must calculate these subject to this partition.
\(\displaystyle \underbrace {\binom{13}{2}}_N,\,\underbrace {\binom{12}{2}}_O,\,\underbrace {\binom{11}{2}}_B\)