Question

most stock car races are held on oval shaped tracks with cars from various manufacturers. Let F,C, and P represent three auto manufacturers
a. Suppose for one race 20 F cars, 14 C cars, and 9 P cars quallified to be in a race. How many different starting line-ups based on manufacturer are possible?
b. if there are 43 cars racing, how many different ways could the cars be arranged on the truck?
c. relative to the leader of the race, how man different ways could the cars be arranged on the track?
( give me hints not necessarily the answer) :D

Answer 1

http://www.mathsisfun.com/combinatorics/combinations-permutations.html

Answer 2

permutation

Answer 3

permutation, becuase their line up does mater

Answer 4

would it be 20! x 14! x 9!

Answer 5

@Ailee this question is a bit tougher than I first thought, i'm trying to refresh myself in probability ^_^

Answer 6

lol thats okay :D

Answer 7

@Ailee
sorry, i've exhausted my brain on this stuff and can't come up with anything substantial.
what is the name of this section in your book?

Answer 8

combinations and probability,( permutations with repetition and circular permutations )

Answer 9

oh gosh, ya, i'm not gonna be any help
good luck!

*go through the examples in that section seems like the most helpful thing right now becuase probability questions aren't answered that often on OpenStudy :/

Answer 10

thanks for trying though :)