Three different lines on a plane divide it into k regions, which do not overlap. The number k cannot be?

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asked Jul 16, 2018 102k views

1 Answer

Csaam · Answer 1 · 2018-07-22T13:16:04+0000

there are k reigons which are divided by 3 lines that don't overlap

to visualize this, get a piece of paper and draw 3 straight lines that don't interlap

you get 4 reigons, right?

so k cannot be any number that is not 4

Three different lines on a plane divide it into k regions, which do not overlap. The number k cannot be?

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