A probability problem by Yash Singhal

Probability Level 3

What is the number of maximum regions in which 7 7 lines divide a plane into?


The answer is 29.

Yash Singhal by Yash Singhal , 22, India

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2 solutions

Maximum number of regions that ‘n’ straight lines can divide a plane = n ( n + 1 ) 2 \dfrac{n(n+1)}{2} + 1 + 1 .

Putting n = 7,we get our desired answer , ie 29 29

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how did u get that expression!!!??? @Harsh Shrivastava

A Former Brilliant Member - 6 years, 5 months ago
Sulung Agus
May 7, 2016

3 lines was 7 area and 4 lines was 11 area and 5 lines was 16 lines and so on until 7 lines so the answer was 29

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