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Making 271

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Using positive integers only, how many ways can can the sum of 271 be found?

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7 answers to this question

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Posted · Report post

Is this with regards or without regards to orderings of the summands?

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Posted · Report post

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.

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Posted · Report post

Yes. I mean combinations.

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Posted · Report post

I'll bet that the answer is divisible by 7.

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Posted · Report post

bonanova posted:

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I would guess "ways" means combinations.

The permutations of 271 1's are not that interesting.

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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.

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Posted · Report post

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. ;)

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Posted · Report post

Be nice friends. This is a math forum not a drama forum. I saw and took no offense in either post.

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