by shivamtripathi22 | Apr 26, 2022 | Uncategorized
(Q). Consider a polygon of ‘n’ sides. If the number of diagonal of polygon is 65 then how many triangles can be drawn from taking vertices of polygon as vertices of triangle?Solution:-number of diagonal of polygon = 65∴ ⁿC₂ – n = 65 = 65n(n-3) =...
by shivamtripathi22 | Apr 26, 2022 | Uncategorized
(Q). There are two parallel lines. First line has two points A & B while second line has 10 points. How many triangle can be formed taking these 12 points as vertices of triangle?Solution:-Required number of triangles= ¹²C₃ – ¹⁰C₃= 220 – 120= 100 ...
by shivamtripathi22 | Apr 24, 2022 | Uncategorized
(Q). consider a set of two octagons, what is the maximum number of quadrilaterals that can be drawn from these 16 points ( vertices of two octagons ) as vertices such that at least one point is selected from each octagon.Solution:-⁸C₁×⁸C₃ + ⁸C₂×⁸C₂ + ⁸C₃×⁸C₁= 8×56 +...
by shivamtripathi22 | Apr 24, 2022 | Uncategorized
(Q). What is the number of quadrilaterals that can be formed by joining the vertices of a polygon of n sides.Solution:-number of vertices in polygon of n sides = nHence required number of triangle = ⁿC₄ ...
by shivamtripathi22 | Apr 24, 2022 | Uncategorized
(Q). How many distinct triangle can be drawn with their vertices selected from 10 points, exactly 5 of which are on one line and remaining 5 are on other parallel line?Solution:-¹⁰C₃ – ⁵C₃ – ⁵C₃= 120 – 10 – 10= 100 ...
