Out of $n$ points in a plane,$p$ points are collinear. (No three of the remaining points are collinear). The number of lines that can be drawn passing through these points is:

  • A
    $^nC_2 - ^pC_2$
  • B
    $^nC_2 - ^pC_2 + 1$
  • C
    $^nC_2 + ^pC_2 + 1$
  • D
    $^nC_2 - ^pC_2 - 1$

Explore More

Similar Questions

On an $n \times n$ chessboard,the total number of rectangles which are not squares is $350$. Then,the number of white squares on the chessboard is .......

The number of diagonals in a convex polygon with $n$ sides is .....

The number of rectangles that can be obtained by joining four of $12$ vertices of a $12$-sided regular polygon is:

There are $3, 4,$ and $5$ points on the sides $AB, BC,$ and $CA$ of a triangle $ABC$ respectively. How many triangles can be formed using these points as vertices?

In how many ways can a mixed doubles tennis game be arranged from $7$ married couples if no husband and wife are in the same game?

Difficult
View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo