Identify of these situations involve combinations. Give an illustrate to justify your answer. write "down" if it involves combinations and "up" if it doesn't. 6. How many elimination games will be there if there are 12 teams in a basketball tournament and each team must play every other team in the eliminations. 7. Selecting 5 problems to solve in a 10-item mathematics problem solving test. 8. In certain general assembly, three major prizes are at stake. In how many ways can the first, second, and third prizes be drawn from a box containing 120 names? 9. A dress shop owner has 8 new dresses that she wants to display in the window. If the window display has 5 mannequins, in how many ways can she dress them up? 10. Suppose that in a certain association, there are 12 elected members of the board of directors, in how many ways can a president, a vice president, secretary, and a treasurer be selected from the board?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Identify of these situations involve combinations. Give an illustrate to justify your answer. write "down" if it involves combinations and "up" if it doesn't. 6. How many elimination games will be there if there are 12 teams in a basketball tournament and each team must play every other team in the eliminations. 7. Selecting 5 problems to solve in a 10-item mathematics problem solving test. 8. In certain general assembly, three major prizes are at stake. In how many ways can the first, second, and third prizes be drawn from a box containing 120 names? 9. A dress shop owner has 8 new dresses that she wants to display in the window. If the window display has 5 mannequins, in how many ways can she dress them up? 10. Suppose that in a certain association, there are 12 elected members of the board of directors, in how many ways can a president, a vice president, secretary, and a treasurer be selected from the board?
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