# How many ways

• Aug 17th 2011, 04:41 PM
alexmahone
How many ways
In how many ways can n - 5 + 1 balls, labelled from 5 to n be placed into 5 bags, labelled from 1 to 5?

(n > 4 and a bag may contain 0 balls.)
• Aug 17th 2011, 05:04 PM
Plato
Re: How many ways
Quote:

Originally Posted by alexmahone
In how many ways can n - 5 + 1 balls, labelled from 5 to n be placed into 5 bags, labelled from 1 to 5? (n > 4 and a bag may contain 0 balls.)

Why is this marked as solved?
• Aug 17th 2011, 05:05 PM
alexmahone
Re: How many ways
Quote:

Originally Posted by Plato
Why is this marked as solved?

I got the solution from another math forum. :)
• Aug 17th 2011, 05:25 PM
Plato
Re: How many ways
Quote:

Originally Posted by alexmahone
I got the solution from another math forum. :)

That is unfair to the other users of this forum.
Post the solution. Then it is fair.
Otherwise, I think you should not be allowed back on this site.
• Aug 17th 2011, 05:28 PM
alexmahone
Re: How many ways
Quote:

Originally Posted by Plato
That is unfair to the other users of this forum.
Post the solution. Then it is fair.
Otherwise, I think you should not be allowed back on this site.

I hope you're kidding!

There are 5 choices for ball 1 (labeled 5), 5 choices for ball 2 (labeled 6), and so on. So the answer is \$\displaystyle 5^{n-4}\$.
I initially thought that the solution to this problem would help me solve http://www.mathhelpforum.com/math-he...em-186303.html but I was wrong.