1. How many distinct lines can be drawn through 10 points, no three of which are collinear? 2. How many straight lines can be drawn through 10 points, exactly 3 of which are collinear? 3. How many distinct lines can be drawn through 10 points, 5 of which are on a...
(Q). How many distinct lines can be drawn through 10 points, 5 of which are on a straight line & remaining 5 are on other straight line which is parallel to the first straight line?Solution:-¹⁰C₂ – ⁵C₂ – ⁵C₂ + 1 + 1= 45 – 10 – 10 + 2= 27 ...
(Q). How many straight lines can be drawn through 10 points, exactly 3 of which are collinear?Solution:-Number of straight lines= ¹⁰C₂ – ³C₂ + 1= 45 – 3 + 1 = 43 ...
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