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Consider a set of ‘m’ parallel lines and another set of ‘n’ parallel lines then what is the number of vertices of parallelogram thus formed by these parallel lines

by shivamtripathi22 | May 5, 2022 | Uncategorized

(Q). Consider a set of ‘m’ parallel lines and another set of ‘n’ parallel lines then what is the number of vertices of parallelogram thus formed by these parallel lines?Solution:-Total number of vertices of parallelogram= total number of...

If number of triangles that can be drawn from the given set of points as vertices is 56 then find the number of straight lines that can be drawn from these points

by shivamtripathi22 | May 5, 2022 | Uncategorized

(Q). If number of triangles that can be drawn from the given set of points as vertices is 56 then find the number of straight lines that can be drawn from these points.Solution:-Here it is given that ⁿC₃ = 56⟹ ⟹ n(n-1)(n-2) = 8×7×6∴ n = 8Hence number of straight lines...

Consider vertices of an octagon & mid point of its sides (total 16 points). How many triangles can be drawn taking these 16 points as vertices of the triangle

by shivamtripathi22 | May 5, 2022 | Uncategorized

(Q). Consider vertices of an octagon & mid point of its sides (total 16 points). How many triangles can be drawn taking these 16 points as vertices of the triangle? Solution:- Without any restriction we can get maximum ¹⁶C₃ triangles. From this we have to reduce...

Consider a square with 5 points on each side (no point on vertices)
(i). How many straight lines can be drawn from these 20 points such that each line passes through exactly 2 of the given points?
(ii). How many triangle can be drawn from these 20 points as vertices?
(iii). How many quadrilateral can be drawn from these 20 points as vertices

by shivamtripathi22 | May 5, 2022 | Uncategorized

(Q). Consider a square with 5 points on each side (no point on vertices)(i). How many straight lines can be drawn from these 20 points such that each line passes through exactly 2 of the given points?(ii). How many triangle can be drawn from these 20 points as...

Consider a set of 8 non-overlapping triangle in a plane such that no three points in the plane is collinear then
(i). if all the possible triangle are drawn taking vertices of these triangles such that not nore than 1 point is selected from a triangle then find the total number triangle hence drawn?

by shivamtripathi22 | Apr 26, 2022 | Uncategorized

(Q). Consider a set of 8 non-overlapping triangle in a plane such that no three points in the plane is collinear then (i). if all the possible triangle are drawn taking vertices of these triangles such that not more than 1 point is selected from a triangle then find...

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Consider a set of ‘m’ parallel lines and another set of ‘n’ parallel lines then what is the number of vertices of parallelogram thus formed by these parallel lines

If number of triangles that can be drawn from the given set of points as vertices is 56 then find the number of straight lines that can be drawn from these points

Consider vertices of an octagon & mid point of its sides (total 16 points). How many triangles can be drawn taking these 16 points as vertices of the triangle

Consider a set of 8 non-overlapping triangle in a plane such that no three points in the plane is collinear then(i). if all the possible triangle are drawn taking vertices of these triangles such that not nore than 1 point is selected from a triangle then find the total number triangle hence drawn?