Quantitative Reasoning 6

  

Instructions:  Respond to the following questions in a word document and upload. Show your work or explain in detail how you arrived at your answers.

1. Describe the difference between combinations and permutations in your own words. When should you use one instead of the other?
2. Decide whether each selection described is a combination or permutation: 

a) When shopping for a new truck, you research 8 different models online and select 3 to test drive.

b) A school board elects a president and vice-president from 12 members.

c) Nine fans at a soccer game are chosen to meet the team after the game.

d) The class of 120 seniors at Washington High select 2 class representatives.

e) A coach chooses a pitcher and 4 infielders from a roster of 25 players.

3. A city council consists of 10 members. Four are Republicans, three are Democrats, and three are Independents. If a committee of three is to be selected, find the probability of selecting: (write your answer as a reduced fraction) SHOW YOUR WORK

All Republicans

All Democrats