Powerball Powerball is a lottery played in 29 states, Washington, D.C., and the U.S

Chapter 8, Problem 33

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Powerball Powerball is a lottery played in 29 states, Washington, D.C., and the U.S. Virgin Islands. A ticket consists of five distinct numbers selected from 1 to 55 and a sixth Powerball number selected from 1 to 42. The order of the first five numbers is unimportant. The Powerball can be the same as one of the first five numbers because it is drawn from 1. A ______ is an arrangement, without regard to order, of r objects chosen from n distinct objects without repetition, where r n. 4. True or False Some permutations involve n objects that are not distinct. 2. The number of combinations of 5 objects taken 2 at a time is C(5, 2) = . 3. True or False If then r n, P(n, r) = n!C(n, r). Skill Building In 512, find the value of each expression. 5. C(6, 4) 6. C(5, 4) 7. C(7, 2) 8. C(8, 7) 9. C(5, 1) 10. C(8, 1) 11. C(8, 6) 12. C(8, 4) 476 Chapter 8 Additional Probability Topics CH008.qxd 11/12/10 12:53 AM Page 476 a separate number pool from the first five numbers. How many distinct Powerball tickets are possible? Source: www.powerball.com