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Jan
12
comment How to approach this problem of combinatorics
Nevermind! I was thinking for the general case.
Jan
12
comment How to approach this problem of combinatorics
Shouldn't it be 144? I believe you're missing a 2.
Jan
12
accepted How to approach this problem of combinatorics
Jan
11
comment How to approach this problem of combinatorics
So I shouldn't even be caring about what the actual products are? If I'm reading what you wrote correctly, this is almost like how many combinations I can make of 1 apple, 2 oranges, 2 pears, 1 kiwi, and 3 mangoes?
Jan
11
asked How to approach this problem of combinatorics
Jan
6
accepted Proof involving Stirling numbers of the second kind
Jan
6
awarded  Commentator
Jan
6
comment Proof involving Stirling numbers of the second kind
@BrianM.Scott Maybe it's assumed for all positive integers greater than equal to $k$?
Jan
5
comment Proof involving Stirling numbers of the second kind
@BrianM.Scott Yeah, I'm looking at it right now and it says, in italics, all positive integers x.
Jan
5
asked Proof involving Stirling numbers of the second kind
Jan
3
comment prove that $\text{rank}(AB)\ge\text{rank}(A)+\text{rank}(B)-n.$
Have you tried working out an example? Try a few by hand and see if you can generalize it. Or you can try showing it by contradiction; though I always feel direct proofs are much more clear.
Jan
2
accepted How to simplify this equality (factorials)?
Jan
2
asked How to simplify this equality (factorials)?
Dec
28
accepted Pigeon-hole Principle: Does this proof have a typo?
Dec
28
accepted If an integer is divisible by 8 and 15, then the integer also must be divisible by which of the following?
Dec
28
accepted How is this a property of Pascal's triangle?
Dec
26
awarded  Analytical
Dec
26
asked How is this a property of Pascal's triangle?
Dec
20
comment If an integer is divisible by 8 and 15, then the integer also must be divisible by which of the following?
Ah! I figured it out just now. Thank you
Dec
20
comment If an integer is divisible by 8 and 15, then the integer also must be divisible by which of the following?
What else does it imply? (I actually thought about it, but I'm quite hesitant to state what I think).