Problem B: The ace of spades is missing from your special deck of cards. Calculate the number of ways each type of hand can occur in this modified deck of cards. 1. Five of a kind: All 5 cards are of the same rank. 2. Straight flush: All 5 cards are of the same suit and sequential in rank. (Aces allowed to be high or low.) 3. Four of a kind: Four cards of the same rank. (Remaining card must be a different rank.) 4. Full house: Three cards of one rank, two cards of another rank. 5. Flush: All cards of the same suit. (Not sequential ranks.) 6. Straight: All cards are sequential in rank. (Not the same suit. Aces allowed to be high or low.) 7. Three of a kind: Three cards of the same rank. (Remaining cards of different ranks.) 8. Two pair: Two cards of one rank, two cards of another rank,remaining card a different rank. 9. One pair: Two cards of one rank, remaining 3 cards all different ranks. 10. High card: All cards of different ranks, but not sequential;not all the same suit.

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