Set A={1,2,3,4,5,6} two numbers from set A are selected at random without replacement and their sum recorded how many different sums are possible

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22-12-2017
Mathematics

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Set A={1,2,3,4,5,6} two numbers from set A are selected at random without replacement and their sum recorded how many different sums are possible

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Rod44 Rod44 · Answer 1 · 2017-12-22T14:42:22+01:00

The minimum sum is 3 and the maximum is 11. So there are 9 different possible sums.
There are 30 ways to get these 9 different sums.
The table below shows all outcomes.

1 2 3 4 5 6
———————————-
1 | X 3 4 5 6 7
2 | 3 X 5 6 7 8
3 | 4 5 X 7 8 9
4 | 5 6 7 X 9 10
5 | 6 7 8 9 X 11
6 | 7 8 9 10 11 X