Classwork: wks Homework (day 7): Wks (1-17)/Quiz next block Bring in items to work on Project in class! You will need your smart phone, laptop, tablet, etc for the quiz. If you do not have the above, put your name and block on a blank piece of paper and give it to me prior to leaving. How many Permutations are there with the letters a,b,c,d? Write your answer in P(n,r) notation. How many Permutations are there of the letters a, b, c, d, e, f and g if we take the letters three at a time? Calculator Steps: 4, math PRB 2, nPr, 4 A group of objects in which the order of the objects is irrelevant. When choosing (r) objects from a set of (n) objects, we say that we are forming a combination of (n) objects (r) at a time. Noted: c(n, r) Formula: Applications: Draw Poker hands, lottery tickets, Coalitions, subsets. How many 3 element sets can be chosen from a set of five objects? Calculator Steps: 5, math PRB 3, nCr, 3 How many four person committees can be formed from a set of ten people? A syndicate intended to raise $15 million to buy all the ticket combinations for certain lotteries. The plan was that if the prize was larger than the amount spent on the tickets, then the group would be guaranteed a profit. To play the Virginia lottery, the player buys a ticket for $1 containing a combination of six numbers from 1 to 44. Assuming they raised the $15 million, does the group have enough money to buy enough tickets to be guaranteed a winner? In the game of poker, 5 cards are drawn from a standard 52 card deck. How many different poker hands are possible? Basic Video (7:38) Basic Video (7:38) https://www.youtube.com/ watch?v=s_LfN4ItCs4 Howard Community College Video (8:39): Howard Community College Video (8:39): https://www.youtube.com/ watch?v=IGNO5ucy6eY Textbook Answers (Day 7 ) p. 578 (19-35