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Fundamental principles of counting - class-XI
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The greatest possible number of points of intersection of 8 straight lines and $4$ circles is $104$.
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A
True
💡 Explanation:
According to question,
There are 8 lines, for two lines meet in a point,
=> $^8C _2\times 1= \dfrac{8.7}{1.2}=28$
Line and circle meet in two points,
=>$(^8C _1\times ^4C _1) \times 2 =64$
Two circles meet in two points,
=> $(^4C _2)\times2 =\dfrac{4.3}{1.2}.2= 104$