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Sum of four distinct integers

YMAkib

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Sum of four distinct integers [#permalink]

Updated on: 29 Nov 2018, 13:21

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How many ways can we find 18 as a sum of four distinct integers?

Edit: positive integers should be counted.

Originally posted by YMAkib on 27 Nov 2018, 01:33.
Last edited by YMAkib on 29 Nov 2018, 13:21, edited 1 time in total.

kunalkmr62

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Re: Sum of four distinct integers [#permalink]

28 Nov 2018, 10:59

2

12

chetan2u

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Re: Sum of four distinct integers [#permalink]

29 Nov 2018, 05:12

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YMAkib wrote:

How many ways can we find 18 as a sum of four distinct integers?

Incorrect question..
four distinct integers would also mean negative integers and then there will be infinite solutions..
example -12345 + 12345 + 0 + 18 or -1+1+0+18 or 17+1+2+(-2) and so on

YMAkib

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Re: Sum of four distinct integers [#permalink]

29 Nov 2018, 13:21

Edited the question.

HappyMathtutor

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Re: Sum of four distinct integers [#permalink]

06 Jan 2019, 22:51

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kunalkmr62 wrote:

12

Just in case you were not guessing, here's why that's not true.

here are 12 possible combinations
0,1,2,15
0,1,3,14
0,1,4,13
0,1,5,12
0,1,6,11
0,1,7,10
0,1,8,9
0,2,3,13
0,2,4,12
0,2,5,11
0,2,6,10
0,2,7,9
............. And we can keep going. 12 is not the solution.

170896

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Re: Sum of four distinct integers [#permalink]

26 Aug 2019, 13:13

Is this a legitimate question? If so, can someone explain it?

B

nhinguyen151

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Re: Sum of four distinct integers [#permalink]

17 Nov 2021, 18:19

12

bumpbot

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Re: Sum of four distinct integers [#permalink]

21 Dec 2022, 21:47

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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