20190114.pdf

Where is the of arrangements of r elements 9 in r use

• Notes
• 3

This preview shows page 1 - 3 out of 3 pages.

where ࠵?! is the # of arrangements of r elements. ࠵? " # = 9 ࠵? ࠵? : = ࠵?! ࠵?! (࠵? − ࠵?)! = ࠵? " # ࠵?! In R, use choose( ), i.e. choose(6,3)

Subscribe to view the full document.

Ex: Evan has a collection of 20 Wii U games. 10 are sports, 6 are Party, 4 are RPG. How many ways are there for Evan to select 6 games bringing to a friend’s home? <sol> ࠵? ; 2< = 38760 Ex: How many ways are there for Evan to select 2 sports games, 3 party games and 1 RPG game bringing to a friend’s home? <sol> ࠵? 2 1< × ࠵? A ; × ࠵? 1 B = 3600 Ex: How many sequences are there for the first-row Seats in the classroom, if we only consider boys and girls? Assume 40 boys and 30 girls in the class and 5 seats available. Consider 5B, 4B1G, 3B2G, 2B3G, 1B4G, 5G. <sol> 5࠵?: 5!/5! = 1 4࠵?1࠵?: 5! 4! × 1! = 5 3࠵?2࠵?: 5! 3! × 2! = 10 2࠵?3࠵?: 5! 3! × 2! = 10 1࠵?4࠵?: 5! 4! × 1! = 5 5G: 1 1 + 5 + 10 + 10 + 5 + 1 = 32 = 2 H Poker We have a card game with 52 cards, consisting of 4 suits (Dia, Clu, Hea, Spa), the cards are numbered Ace, 2-10, then J, Q, K in each suit. A hand has 5 cards and can be sorted anyway the player desires. HOW MANY 5 CARD HANDS ARE POSSIBLE? <sol> ࠵? H H2 Four of a kind - AAAA9. ࠵? 1 1A × ࠵? B B × ࠵? 1 12 × ࠵? 1 B Royal Flush: ࠵? 1 B
Full House – ࠵?࠵?࠵?࠵?࠵?. ࠵? 1 1A × ࠵? 2 B × ࠵? 1 12 × ࠵? A B Two Pair (Distinct): ࠵?࠵?࠵?࠵?8 ↔ ࠵?࠵?࠵?࠵?8 (࠵?࠵?࠵?࠵? ℎ࠵?࠵?࠵?) ࠵? 2 1A × (࠵? 2 B ) 2 × ࠵? 1 11 × ࠵? 1 B
• Fall '07
• goldsman
• #, 5g

What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern