pre-cal 40s slides may 6, 2008
TRANSCRIPT
![Page 1: Pre-Cal 40S Slides May 6, 2008](https://reader034.vdocuments.mx/reader034/viewer/2022051414/55a314751a28ab180d8b4669/html5/thumbnails/1.jpg)
How many ways can we divy this up?
You figure it out, I'm eating.
Whose counting the E-Numbers boys by flickr user law_keven
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In how many ways can 8 books be arranged on a shelf, if 3 particular books must be together?
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There are 10 football teams in a certain conference. How many games must be played if each team is to play every other team just once?
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There are 10 football teams in a certain conference. How many games must be played if each team is to play every other team just once?
![Page 5: Pre-Cal 40S Slides May 6, 2008](https://reader034.vdocuments.mx/reader034/viewer/2022051414/55a314751a28ab180d8b4669/html5/thumbnails/5.jpg)
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.)
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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?
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Poker CombinationsGiven 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]
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(b) Straight flush [five cards in sequence and of the same suit, but not ace king queen jack ten]
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(c) Four of a kind [four cards of one face value and one other card]
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(d) Full house [3 cards of one face value and 2 cards of another face value]
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(e) Flush [5 cards of the same suit but not in sequence, not including the straight flush and royal flush above]
THE REST OF THESE QUESTIONS ARE HOMEWORK
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(f) Straight [5 cards in sequence, but not all of same suit. Ace high or low]
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(g) Three of a Kind [exactly 3 cards of one face value and 2 different cards]
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(h) Two pairs [one pair of each two different face values and a card of a third face value]
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(i) One pair [two of one face value, and 3 cards of different face values, no matching the pair]
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(j) No pairs [5 different face values, not in sequence, not all cards in the same suit]