Out of 18 points in as plane, no three p...

Out of 18 points in as plane, no three points are in the same straight line except five points which are collinear. The number of straight lines formed by joining them is

Text Solution

Verified by Experts

The correct Answer is:

144

Topper's Solved these Questions

PERMUTATION & COMBINATION
VMC MODULES ENGLISH|Exercise LEVEL-1|125 Videos
PERMUTATION & COMBINATION
VMC MODULES ENGLISH|Exercise LEVEL-2|88 Videos
MOCK TEST 9
VMC MODULES ENGLISH|Exercise MATHEMATICS (SECTION 2)|5 Videos
PROBABILITY
VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

Similar Questions

Explore conceptually related problems

There are 10 points in a plane, no three of which are in the same straight line, except 4 points, which are collinear. Find the number of lines obtained from the pairs of these points,

Three are 12 points in a plane, no of three of which are in the same straight line, except 5 points whoich are collinear. Find (i) the numbers of lines obtained from the pairs of these points. (ii) the numbers of triangles that can be formed with vertices as these points.

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?

There are 15 points in a plane, no three of which are in a straight line except 4, all of which are in a straight line. The number of triangles that can be formed by using these 15 points is:

There are 15 points in a plane, no three of which are in the same straight line with the exception of 6, which are all in the same straight line. Find the number of i. straight lines formed, ii. number of triangles formed by joining these points.

There 12 points in a plane of which 5 are collinear . Find the number of straight lines obtained by joining these points in pairs.

There are 12 points in a plane of which 5 are collinear . Find the number of straight lines obtained by joining these points in pairs .

There are 10 points in a plane, out of these 6 are collinear. The number of triangles formed by joining these points, is

There are 16 points in a plane of which 6 points are collinear and no other 3 points are collinear.Then the number of quadrilaterals that can be formed by joining these points is

There are ten points in a plane. Of these ten points, four points are in a straight line and with the exceptionof these four points, on three points are in the same straight line. Find i. the number of triangles formed, ii the number of straight lines formed iii the number of quadrilaterals formed, by joining these ten points.

VMC MODULES ENGLISH-PERMUTATION & COMBINATION-JEE ARCHIVE

Out of 18 points in as plane, no three points are in the same straight...
Text Solution
|
The number of integers greater than 6000 that can be formed using the ...
Text Solution
|
How many different nine-digit numbers can be formed from the digits of...
Text Solution
|
An n-digit number is a positive number with exactly n digits. Nine hun...
Text Solution
|
In a college of 300 students, every student reads 5 newspapers and eve...
Text Solution
|
Eight chairs are numbered 1 to 8. Two women and three men wish to oc...
Text Solution
|
Ten different letters of an alphabet are given. Words with five letter...
Text Solution
|
let T(n) be the number of all possible triangels formed by joining ver...
Text Solution
|
Find the value of ""^(47)C4+ underset (r=1) overset( 5) sum ""^(52-r...
Text Solution
|
True or false 1. The product of any 2. r 3. 4. consecutive natural ...
Text Solution
|
The letters of the word COCHIN are permuted and all the permutation...
Text Solution
|
The number of arrangements of the letters of the word BANANA in whic...
Text Solution
|
The number of divisors of the form 4K + 2 , K ge 0 of the integers 24...
Text Solution
|
Find the number of ways in which six '+' and four '-' signs can be arr...
Text Solution
|
There are five balls of different colours and five boxes of colours sa...
Text Solution
|
The number of ways of choosing 10 objects out of 31 objects of which 1...
Text Solution
|
Suppose that 20 pillars of the same height have been erected along the...
Text Solution
|
Some identical balls are arranged in rows to form an equilateral trian...
Text Solution
|
There are m men and two women participating in a chess tournament. Eac...
Text Solution
|
A group of students comprises of 5 boys and n girls. If the number of ...
Text Solution
|
Let S be the set of all triangles in the xy-plane, each having one ver...
Text Solution
|