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.
- Describe the difference between combinations and permutations in your own words. When should you use one instead of the other?
- 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