Puzzling Number selection

Directions:

1. Select one number and circle it
2. Cross out that numbers' entire row and column
3. Select another number, making sure to select a 'free' number
4. Cross out that number's entire row and column
5. Repeat, until you have six circled numbers, and the rest are crossed out
6. Add up the circled numbers' values
7. Compare with classmates' results
8. Can you explain it?


Number choosing puzzle
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7 8 9 10 11 12
13 14 15 16 17 18
19 20 21 22 23 24
25 26 27 28 29 30
31 32 33 34 35 36