how many apples?

Apr 2010
11
0
How many ways can six identical apples be passed out to nine people if any one of the nine people can choose an unlimited amount of apples?

My answer:

9^6 = 531,441 ways
 

Plato

MHF Helper
Aug 2006
22,462
8,633
How many ways can six identical apples be passed out to nine people if any one of the nine people can choose an unlimited amount of apples?
How can six become an unlimited amount?
 
Apr 2010
11
0
unlimited such that they can choose any number of apples.
 
Apr 2010
15
2
well order doesn't matter since they are identical apples and repetition is allowed as stated in the question so this is a selection problem...I think you can figure it out from here.

\(\displaystyle (k+(n-1))!/(k!(n-1)!)\)
 
Apr 2010
15
2
I think he means someone could pick all 6...not really an unlimited amount of apples. At least that's how I interpreted it. (Wondering) Could you clarify?
 
Apr 2010
11
0
yes that is correct...sorry for the misunderstanding