How many lines can be drawn through 21 points | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) To form a line,we need to select $2$ distinct points from the given set of points.Since no $3$ points are collinear (as they lie on a circle),ever

Vedclass · Accepted Answer

$210$

Vedclass · Answer

(B) To form a line,we need to select $2$ distinct points from the given set of points.Since no $3$ points are collinear (as they lie on a circle),every pair of points determines a unique line.The number of lines that can be drawn through $n$ points is given by the combination formula $C(n, 2) = \frac{n(n-1)}{2}$.Here,$n = 21$.Therefore,the number of lines $p = C(21, 2) = \frac{21 	imes 20}{2} = 21 	imes 10 = 210$ lines.

How many lines can be drawn through $21$ points on a circle?

Similar Questions

If $a_n = \sum_{r = 0}^n \frac{1}{^nC_r}$,then $\sum_{r = 0}^n \frac{r}{^nC_r}$ equals

Number of shortest paths from $HOSTEL$ to $ALLEN$ is equal to (as shown in the given figure):

The number of triangles that can be formed by choosing the vertices from a set of $12$ points,$7$ of which lie on the same straight line,is

In how many ways can $15$ different books be divided equally among $5$ sets or groups?

If $C(n, 8) = C(n, 6)$,find $C(n, 2)$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module