BMAD Posted February 25, 2014 Report Share Posted February 25, 2014 Using positive integers only, how many ways can can the sum of 271 be found? Quote Link to comment Share on other sites More sharing options...
0 Perhaps check it again Posted February 25, 2014 Report Share Posted February 25, 2014 Is this with regards or without regards to orderings of the summands? Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted February 25, 2014 Report Share Posted February 25, 2014 Is this with regards or without regards to orderings of the summands? I would guess "ways" means combinations. The permutations of 271 1's are not that interesting. 1 Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted February 25, 2014 Author Report Share Posted February 25, 2014 Yes. I mean combinations. Quote Link to comment Share on other sites More sharing options...
0 superprismatic Posted February 26, 2014 Report Share Posted February 26, 2014 I'll bet that the answer is divisible by 7. Quote Link to comment Share on other sites More sharing options...
0 Perhaps check it again Posted February 26, 2014 Report Share Posted February 26, 2014 bonanova posted: ------------------------------------------------------------------------------- I would guess "ways" means combinations. The permutations of 271 1's are not that interesting. ------------------------------------------------------------------------------- I must be a genius when it comes to making arguments, because I would never have typed that second sentence highlighted above. It is irrelevant. When I asked my question, I had already thought through about repetitions of certain numbers. But your second sentence, bonanova, is irrelevant. It's on purpose that I try really hard not to resort to sarcasm with another math forum user when I don't understand why they stated something that I otherwise would not have stated myself. And now it should be an insult for me to point out that the permutations of 271 1's doesn't exclude the possibility of interesting permutations of other than the sole use of 1's to sum to 271. Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted February 26, 2014 Report Share Posted February 26, 2014 Perhaps, sorry for any misunderstanding. No sarcasm was intended, nor would I want anyone to express sarcasm in this forum. Your question was proper, and my guess as to its answer was based on the fact that the total would be swamped by counting trivial permutations, while the count of combinations seems an interesting problem. I don't yet have the solution. SP has posted a clue. I'll leave the solution to you. Good Luck. Quote Link to comment Share on other sites More sharing options...
0 BMAD Posted February 26, 2014 Author Report Share Posted February 26, 2014 Be nice friends. This is a math forum not a drama forum. I saw and took no offense in either post. Quote Link to comment Share on other sites More sharing options...
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BMAD
Using positive integers only, how many ways can can the sum of 271 be found?
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