# Thread: Is order important here?

1. ## Is order important here?

How many ways can you distribute 42 objects among 8 people if the first 4 must get exactly 25 between them?

Is it:

$\frac{8!}{4!4!}4^{25}4^{17}$

or just:

$4^{25}4^{17}$

or neither?

2. Originally Posted by billym
How many ways can you distribute 42 objects among 8 people if the first 4 must get exactly 25 between them?
I think that this is very odd question.
But the answer I would give is: $\binom{42}{25}4^{25}4^{17}$.

3. Forgot to mention that the objects are identical.

4. Originally Posted by billym
Forgot to mention that the objects are identical.
Well that was a real oversight.
$\binom{25+4-1}{25}\binom{17+4-1}{17}$