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# Pre-Cal 40S May 13, 2009

## on May 13, 2009

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Combinatorics workshop and introduction to Poker Combinations.

Combinatorics workshop and introduction to Poker Combinations.

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## Pre-Cal 40S May 13, 2009Presentation Transcript

• How many ways can we divy this up? You ﬁgu out , I'm re it eati ng. Whose counting the E-Numbers boys by ﬂickr user law_keven
• Determine the indicated term in the expansion. The 4th term in the expansion of
• Determine the indicated term in the expansion. The middle term in the expansion of
• From a class of 12 boys and 10 girls a committee of 3 people is selected. How many different committees have at least one boy?
• From a class of 12 boys and 10 girls a committee of 3 people is selected. How many different committees have at least one boy?
• From a class of 12 boys and 10 girls a committee of 3 people is selected. How many different committees have at least one boy?
• There are 9 chairs in a row. In how many ways can 4 students be seated in consecutive chairs? (Hint: First ﬁnd the number of ways of choosing 4 consecutive chairs.)
• Seven people reach a fork in a road. In how many ways can they continue their walk so that 4 go one way and 3 the other?
• Poker Combinatorics or How likely is THAT?!? Red Hot Poker by ﬂickr user kimberlyfaye
• Poker Combinations Given a standard deck of 52 cards, how many ways are there to draw 5 cards to obtain each hand. (a) Royal Flush [ace, king, queen, jack, ten in the same suit]
• THE REST OF THESE QUESTIONS ARE HOMEWORK (b) Straight ﬂush [ﬁve cards in sequence and of the same suit, but not ace king queen jack ten]
• (c) Four of a kind [four cards of one face value and one other card]
• (d) Full house [3 cards of one face value and 2 cards of another face value]
• (e) Flush [5 cards of the same suit but not in sequence, not including the straight ﬂush and royal ﬂush above]
• (f) Straight [5 cards in sequence, but not all of same suit. Ace high or low]
• (g) Three of a Kind [exactly 3 cards of one face value and 2 different cards]
• (h) Two pairs [one pair of each two different face values and a card of a third face value]
• (i) One pair [two of one face value, and 3 cards of different face values, no matching the pair]
• (j) No pairs [5 different face values, not in sequence, not all cards in the same suit]