There are points in a plane

MATHEMATICS · Single correct · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

There are

2n

points in a plane, of which

m

are collinear, where

m>4

. The number of quadrilaterals formed is (1) Equal to

\binom{2n}{4}-\binom{m}{4}

(2) Greater than

\binom{2n}{4}-\binom{m}{4}

(3) Less than

\binom{2n}{4}-\binom{m}{4}

(4) None of these