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For questions about the study of finite or countable discrete structures, especially how to count or enumerate elements in a set (perhaps of all possibilities) or any subset. It includes questions on permutations, combinations, bijective proofs, and generating functions.

0 votes
2 answers
366 views

Drawing balls from a bag (Permutations).

Question: " You have $3$ green balls, $1$ purple ball and $4$ red balls, all in a bag. What is the probability that when you (without replacement) draw $4$ balls, $3$ of them will be green and none of …
Joe's user avatar
  • 33
0 votes
2 answers
266 views

Combinatorics involving a poker hand

How many 5 card poker hands can be dealt from a standard deck of 52 cards with 3 hearts and 2 diamonds? I have tried this but I am not sure if it is correct: ${13\choose3}{13\choose2} = 22308$
Joe's user avatar
  • 33