# SOLUTION: If five card hands are dealt at random from an ordinary deck of 52 playing cards. The instructor asked a) how many hands are possible. I figured that as being 2,598,960 hands pos

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 Algebra: Combinatorics and Permutations Solvers Lessons Answers archive Quiz In Depth

 Question 266134: If five card hands are dealt at random from an ordinary deck of 52 playing cards. The instructor asked a) how many hands are possible. I figured that as being 2,598,960 hands possible using combination formula. b) how many hands are possible that contain only red cards? c) how many hands are possible that contain only spades? I'm pretty sure I can figure out c by knowing how to compute b. Can you help?Answer by josmiceli(9664)   (Show Source): You can put this solution on YOUR website!There are 26 chances out of 52 for a red card, so for the 1st card: is the probability Now there are cards left and red cards is the probability Now multiply probabilities for red cards in a row: All spades is the same idea, but start with