Home
Class 11
MATHS
The number of parallelograms that can be...

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is:

A

6

B

18

C

12

D

9

Text Solution

Verified by Experts

The correct Answer is:
B
To from parallelogram we required a pair of line from a set of 4 lines and another pair of line from another set of 3 lines.
`therefore` Required number of parallelograms `=""^(4)C_(2) xx ""^(3)C_(2) = 6 xx 3 = 18`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NCERT EXEMPLAR|Exercise Fillers|9 Videos

  • PERMUTATIONS AND COMBINATIONS

    NCERT EXEMPLAR|Exercise True/False|9 Videos

  • PERMUTATIONS AND COMBINATIONS

    NCERT EXEMPLAR|Exercise Long Answer Type Questions|6 Videos

  • MATHEMATICAL REASONING

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|21 Videos

  • PRINCIPLE OF MATHEMATICAL INDUCTION

    NCERT EXEMPLAR|Exercise OBJECTIVE TYPE QUESTIONS|5 Videos

Similar Questions

Explore conceptually related problems

The number of parallelograms that can be formed form a set of four parallel lines intersecting another set of three parallel lines is 6 b.9 c.12 d.18

The number of paralle,ograms that can be formed form a set of four paralel lines intersecting another set of three parallel lines is (A) 8 (B) 18 (C) 12 (D) 9

Intersecting and parallel lines

The number of triangles that can be formed by 5 points in a line and 3points on a parallel line is

No.of square rectangle parallelogram when m parallel & n parallel line intersect

The number of triangles that can be formed by choosing the vefrom a set of 12 points,seven of which lie on the same straight line,are:

l and m are two parallel lines intersected by another pair of parallel lines p and q. Show that △ABC≅△CDA.