From the 9 people there are 9 possible winners and then 8 possible runner-ups, and finally 7 possible third place finishers. We are choosing 3 from 9 and placing them in an order.
The number of possible permutations of M objects chosen from N objects is P(N,M).
Use P(9,3), which is 9 * 8 * 7 = 504.
OpenStudy (anonymous):
I got the same answer. I would also add that for the format I used, P(N,M) = N · (N−1) · (N−2) · …
OpenStudy (anonymous):
So, does order matter?
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
10C5 ways, i.e. 10!/(10-5)!5! = 252
OpenStudy (anonymous):
576
OpenStudy (anonymous):
I'm not sure if that is correct. Give me a few minutes :p
OpenStudy (anonymous):
It should be 800, sorry.
OpenStudy (anonymous):
Aw it's alright. Thanks for all of the help.
Still Need Help?
Join the QuestionCove community and study together with friends!
Sign Up
OpenStudy (anonymous):
since there can be 8 different numbers for the first digit, 10 for the second or third. So, 8*10*10 = 800.
OpenStudy (anonymous):
Np, sorry I jumped the gun on the last one. Good luck!