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Problems involving both permutations and combinations
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Problems involving both permutations and combinations
Basic Concepts: Determining probabilities using tree diagrams and tables, Probability of independent events, Permutation vs. Combination
Lessons
- 1.From a standard deck of 52 cards, how many 5-card poker hands can be formed in each case:a)straight flush - 5 cards in sequence, all of the same suit, e.g. 6, 7, 8, 9, 10?b)four of a kind?c)full house - 3 of a kind and a pair, e.g. 5, 5, 5, 8, 8?d)flush - all 5 cards are of the same suit?e)straight - 5 cards in sequence, but not all of the same suit, e.g. 2, 3, 4, 5, 6?f)three of a kind?g)two pairs?h)one pair?i)high card?j)show that the sum of all 9 categories of 5-card hands (from straight flush to high card) equals the number of all 5-card hands.