# Tagged Questions

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### number of ways to put 4 black,4 white,4 red balls in 6 different boxes

The question says:in how many ways we could put 4 black,4 white,4 red balls in 6 different boxes? boxes are distinguishable,black balls are identical,red balls are identical,and white balls are ...
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### Balls and Boxes [closed]

How many ways are there to put 6 balls in 3 boxes if: a)the balls are not distinguishable and neither are the boxes? b)the balls are not distinguishable but the boxes are? c)the balls are ...
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### Permutation problem - How many permutations are there such that no two numbers are immediately adjecent? [duplicate]

Consider the set of numbers 1,1,2,2,3,3,4,4. How many permutations are there such that no two identical numbers are immediately adjacent?
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### Question regarding permutations and combinations?

Hi, I was just wondering on how you are supposed to approach this question. I keep getting 114 as an answer, but the answers say it is 174. How would anyone do this question, because I feel like I'm ...
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### Showing that two sums are equivalent

given \begin{gather} U_d(x,y,q\mid i_1,\ldots,i_k)=\sum\limits_{n,m\geq0}x^ny^m\sum\limits_{\sigma = i_1\ldots i_k\sigma_{k+1}\ldots\sigma_m\in C_{[d]}(n,m)}q^{v(\sigma)}. \end{gather} show ...
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### Probablity that 3 husbands sit next to their wives round a circular table

There are 3 couples sitting randomly round a 6-seater circular table. What is the probability that all the husbands and wives sit next to each other? My attempt: First wife, say, takes any of the ...
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### Semi-Ambiguous Combinatorics Problem

I'm having trouble fully understanding this introductory combinatorics problem; this is all that's provided, so it's most likely me not fully comprehending the question. Any help is appreciated. The ...