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exercise on permutation or arrangement

by | Aug 2, 2023 | Uncategorized

 1. In how many ways 15 students can be seated on 20 seats in a row ? 2. In how many ways 5 distinct volume of chemistry and 7 distinct volume of Botany book can be arranged on a bookshelf such that no two chemistry books are together ? 3. In how many ways 15 students...

Consider ‘n’ straight lines in a plane such that no two of which are parallel and no three of which pass through the same point. How many new straight lines can be drawn from the point of intersection of these straight lines

by | Jun 15, 2023 | Uncategorized

(Q). Consider ‘n’ straight lines in a plane such that no two of which are parallel and no three of which pass through the same point. How many new straight lines can be drawn from the point of intersection of these straight lines?Solution:-Since each line...

Consider a polygon of n sides. what is the number of triangles that can be drawn taking vertices of these polygons as vertices of triangles and no side of triangles is common with any side of the polygon

by | Jun 6, 2022 | Uncategorized

(Q). Consider a polygon of n sides. what is the number of triangles that can be drawn taking vertices of these polygons as vertices of triangles and no side of triangles is common with any side of the polygon?Solution:-Without any restriction number of tiangle formed...

Consider a polygon of k sides with n points on each side (no point on the vertices)
(i) How many straight lines can be drawn from these ‘kn’ points such that each line passes through exactly 2 of the given points.
(ii) if ‘T’ is the maximum number of triangles that can be drawn from these kn points as vertices then find the value of ‘T’.
(iii) if ‘Q’ is the maximum number of quadrilaterals that can be drawn from these ‘kn’ points as vertices then find the value of Q

by | May 30, 2022 | Uncategorized

(Q). Consider a polygon of k sides with n points on each side (no point on the vertices)(i) How many straight lines can be drawn from these ‘kn’ points such that each line passes through exactly 2 of the given points.(ii) if ‘T’ is the maximum...

Consider 37 points in a plane such that no three of them are collinear. A student is told to 1st draw all the possible polyg0ns of same number of sides & then draw all the possible diagonals. What is the maximum number of such diagonals possible? ( if a particular line is diagonal of two polygon then count both of them)

by | May 30, 2022 | Uncategorized

(Q). Consider 37 points in a plane such that no three of them are collinear. A student is told to 1st draw all the possible polyg0ns of same number of sides & then draw all the possible diagonals. What is the maximum number of such diagonals possible? ( if a...