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  • Need explanation for: There are two parallel lines with 6 points on one line and 8 pointson the other. How many quadrilaterals can be formed by joining points on the two lines?

There are two parallel lines with 6 points on one line and 8 points on the other. How many quadrilaterals can be formed by joining points on the two lines?

  • Option 1)

    210

  • Option 2)

    205

  • Option 3)

    418

  • Option 4)

    420

 

Answers (1)

best_answer

as learnt in

Rule of Geometrical Permutations -

There are n points in a plane such that no three of them are in the same straight line then the number of lines that can be formed by joining is/are ^{n}c_{2} and number of triangle is/are ^{n}c_{3}.

-

 

 

To form a quadrilateral we need two points from each line. 

We get, 

^{6}C_{2} \times ^{8}C_{2}= \frac{6 \times 5}{2} \times \frac{ 8 \times 7}{2}

=15 \times 28=420


Option 1)

210

This option is incorrect.

Option 2)

205

This option is incorrect.

Option 3)

418

This option is incorrect.

Option 4)

420

This option is correct.

Posted by

Plabita

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