How many of you actually like and study serious mathematics aside from olympiad type problems with elementary (not always easy) solutions?
>>9058138
6 lines, every line should cross every other line once. This gives us 5+4+3+2+1 = 15 crosses. Every line added creates 1 new section and every cross splits that new section into two sections, creating 1 new region. So the number of sections is the number of sections with no lines (1) + the number of new sections created by adding lines (6) + the number of sections created by crossing lines 15 times (15) = 22
>>9058157
Ok here's what I meant you had fun for a few minutes there with a shallow problem. Are you actually interested in spending a lot of time studying real math? I want to know what percentage of people here larping as mathematicians are actually engineers who consider themselves "interested in mathematics"
>>9058169
I am studying a somewhat related construction and already knew the answer, that's the only reason why I replied. So, yes I'm an amateur mathematician but no I'm not generally interested in these puzzle problems that have already been solved.