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The number of circles that can be drawn out of 10 points of

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Senior Manager
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The number of circles that can be drawn out of 10 points of  [#permalink]

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New post 12 Jan 2019, 21:21
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The number of circles that can be drawn out of 10 points of which 7 are collinear is
(a) 130
(b) 85
(c) 45
(d) 105
(e) Cannot be determined

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Senior Manager
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The number of circles that can be drawn out of 10 points of  [#permalink]

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New post 12 Jan 2019, 21:23
For drawing a circle we need 3 non collinear points. This can be done in:
3C3+3C2×7C1+3C1×7C2 = 1+21+63 = 85

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The number of circles that can be drawn out of 10 points of   [#permalink] 12 Jan 2019, 21:23
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