The maximum number of regions in which 10 circles can divide a plane is

Step-by-step solution

Initially there is one plane When C ₁ is introduced: 1 part is increased When C ₂ is introduced: 2 part is increased When C ₃ is introduced: 4 part is increased When C ₄ is introduced: 8 part is increased Total number of parts =1+1+2+4+8+16+ . .=1+ 1 (2¹⁰-1 ) 2-1 =1024