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sage code to find sum of each combination of NcR

asked 2020-09-18 10:00:17 -0500

nirajverma gravatar image

updated 2020-09-18 11:58:18 -0500

tmonteil gravatar image

Ex :sage:Combinations([1,2,3,4,5],3).list() This will give a listing as follows

1,2,3
1,2,4
1,2,5
1,3,4
1,3,5
1,4,5
2,3,4
2,3,5
2,4,5
3,4,5

How to get a listing to include the sum of each combination alongside as follows

1,2,3  6
1,2,4  7

and so on My email id is : itsverma4u2@gmail.com

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answered 2020-09-18 11:59:36 -0500

tmonteil gravatar image

You can iterate over the combinations with a for loop and then compute the sum of the elements as follows:

sage: for i in Combinations([1,2,3,4,5],3): 
....:     print(i, sum(i)) 
....:                                                                                                                                                                                                        
[1, 2, 3] 6
[1, 2, 4] 7
[1, 2, 5] 8
[1, 3, 4] 8
[1, 3, 5] 9
[1, 4, 5] 10
[2, 3, 4] 9
[2, 3, 5] 10
[2, 4, 5] 11
[3, 4, 5] 12
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Asked: 2020-09-18 10:00:17 -0500

Seen: 88 times

Last updated: Sep 18