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21 Oct 2017, 13:27
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How can I solve the below question without writing down the cases? If boxes were also non-identical, I know the answer will be 10^4. Is there any such formula for this case?
Q: How many ways can you arrange 10 non-identical balls in 4 identical boxes? (assuming 1 or more boxes can be empty)
Q: How many ways can you arrange 10 non-identical balls in 4 identical boxes? (assuming 1 or more boxes can be empty)
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
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21 Oct 2017, 22:07
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Ace800
hi..
this is going to be a lengthy calculation..
you have to look into different cases....
1) all 10 in one - 4 ways
2) 9 in one and 1 in second- so choose two out of 4.. 4C2
further carry on for different combinations .
this post may help you
https://gmatclub.com/forum/topic215915.html#p1667366
22 Oct 2017, 11:55
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chetan2u
Hi Chetan,
Thanks for your help.
I was wondering if there was any formula that can be used instead of writing down each case. For instance:
if N Balls and P Baskets ( both identical )then ways=N
If N Balls and P Baskets (both non-identical) then ways= P^N
If Balls are identical but baskets are not, then ways= (N+P-1)!/N!(p-1)!
I am wondering if there is any such formula for this case as well which can be used readily instead of writing down each case?? I feel like there might be because the other cases all seem to have one..I just don't know what it is though...
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Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Quantitative Questions Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
