Top Banner
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
19

Pre-Cal 40S May 13, 2009

Jul 04, 2015

Download

Education

Combinatorics workshop and introduction to Poker Combinations.
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
Page 1: Pre-Cal 40S May 13, 2009

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

Page 2: Pre-Cal 40S May 13, 2009

Determine the indicated term in the expansion.

The 4th term in the expansion of

Page 3: Pre-Cal 40S May 13, 2009

Determine the indicated term in the expansion.

The middle term in the expansion of

Page 4: Pre-Cal 40S May 13, 2009

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?

Page 5: Pre-Cal 40S May 13, 2009

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?

Page 6: Pre-Cal 40S May 13, 2009

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?

Page 7: Pre-Cal 40S May 13, 2009

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.)

Page 8: Pre-Cal 40S May 13, 2009

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?

Page 9: Pre-Cal 40S May 13, 2009

How likely is THAT?!?

Combinatoricsor

Red Hot Poker by flickr user kimberlyfaye

Poker

Page 10: Pre-Cal 40S May 13, 2009

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]

Page 11: Pre-Cal 40S May 13, 2009

(b) Straight flush [five cards in sequence and of the same suit, but not ace king queen jack ten]

THE REST OF THESE QUESTIONS ARE HOMEWORK

Page 12: Pre-Cal 40S May 13, 2009

(c) Four of a kind [four cards of one face value and one other card]

Page 13: Pre-Cal 40S May 13, 2009

(d) Full house [3 cards of one face value and 2 cards of another face value]

Page 14: Pre-Cal 40S May 13, 2009

(e) Flush [5 cards of the same suit but not in sequence, not including the straight flush and royal flush above]

Page 15: Pre-Cal 40S May 13, 2009

(f) Straight [5 cards in sequence, but not all of same suit. Ace high or low]

Page 16: Pre-Cal 40S May 13, 2009

(g) Three of a Kind [exactly 3 cards of one face value and 2 different cards]

Page 17: Pre-Cal 40S May 13, 2009

(h) Two pairs [one pair of each two different face values and a card of a third face value]

Page 18: Pre-Cal 40S May 13, 2009

(i) One pair [two of one face value, and 3 cards of different face values, no matching the pair]

Page 19: Pre-Cal 40S May 13, 2009

(j) No pairs [5 different face values, not in sequence, not all cards in the same suit]