Home
Class 12
MATHS
There are 16 points in a plane no three ...

There are 16 points in a plane no three of which are in a st , line except except 8 which are all in a st . Line The number of triangles that can be formed by joining them equals :

A

504

B

552

C

560

D

1120

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Multiple Choice Questions - LEVEL - II|61 Videos

  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|6 Videos

  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS (QUESTIONS FROM KARNATAKA CET & COMED )|11 Videos

Similar Questions

Explore conceptually related problems

There are 15 points in a plane , no three of which are in a st line , except 6 , all of which are in a st. line The number of st lines , which can be drawn by joining them is :

Given 5 line segments of lengths 2,3,4,5,6 units. Then the number of triangles that can be formed by joining these segments is :

Statement-1: There are pge8 points in space no four of which are in the same with exception of q ge3 points which are in the same plane, then the number of planes each containing three points is .^(p)C_(3)-.^(q)C_(3) . Statement-2: 3 non-collinear points always determine unique plane.

There are 12 points in a plane in which 6 are collinear. Number of different straight lines that can be drawn by joining them, is

There are 10 points in a plane , out of these 6 are collinear. If N is the number of triangles formed by joining these points , then :

There are 10 points in a plane out of these points no three are in the same straight line except 4 points which are collinear. How many (i) straight lines (ii) trian-gles (iii) quadrilateral, by joining them?

4 points out of 8 points in a plane are collinear. Number of different quadrilateral that can be formed by joining them is

4 points out of 11 points in a plane are collinear. Number of different triangles that can be drawn by joining them, is

There are 10 points in a plane of which no three points are collinear and four points are concyclic. The number of different circles that can be drawn through at least three points of these points is

There are p,q,r points on three parallel lines L_1,L_2 and L_3 respectively, all of which lie in one plane . The number of triangle which can be formed with vertices at these points is :