There are 20 points in a plane of which ...

There are 20 points in a plane of which 5 are collinear and no three of the points are collinear unless all the three are from these 5 points. Find the number of different lines formed.

Text Solution

Verified by Experts

The correct Answer is:

`=""^(20)C_(2)-""^(7)C_(2)+1`

Topper's Solved these Questions

PERMUTATIONS & COMBINATIONS
AAKASH SERIES|Exercise ADDITIONAL SOLVED EXAMPLES|68 Videos
PERMUTATIONS & COMBINATIONS
AAKASH SERIES|Exercise EXERCISE -1.1 VERY SHORT ANSWER QUESTIONS|13 Videos
PARTIAL FRACTIONS
AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos
PROBABILITY
AAKASH SERIES|Exercise Practise Exercise|165 Videos

Similar Questions

Explore conceptually related problems

There are 20 points in a plane of which 5 are collinear and no three of the points are collinear unless all the three are from these 5 points. Find the number of different triangles fromed by joining these points

There are 20 points in a plane of which 5 are collinear and no three of the points are collinear unless all the three are from these 5 points. Find the number of different straight lines passing through these points

There are 20 points in a plane out of which 7 points are collinear and no three of the points are collinear unless all the three are from these 7 points. Find the number of different straight lines.

The are m points in a plane out of which p points are collinear and no three of the points are collinear unless all the three are from these p points. Find the number of different triangles formed by joining these points (by line segments).

There are 20 points in plane no three of which are collinear . The number of strainght lines by joining them is

There are 21 points in a plane no three of which are collinear . The number of triangle by joining them is

There are 21 points in a plane no three of which are collinear. The number of triangles formed by joining them is

There are 10 points in a plane of which no three of which no three of the points are collinear except 5 points which lie on a line . I : The number of straight lines by joining them is 35 . II : the number of triangles formed by joining them is 110

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-PRACTICE EXERCISE

There are 20 points in a plane of which 5 are collinear and no three o...
Text Solution
|
IF ""^(10)p r = 5040 then r=
Text Solution
|
If ""^(n)P(5)=""^(n)P(6) then n is
Text Solution
|
If ""^((n+1))P(5): ""^(n)P(5)=3:2, find n
Text Solution
|
If ""^(n)P(4):""^(n)P(3)=2:1 then is
Text Solution
|
IF ""^((2n-1))P(n-1) : ""^((2n-1))Pn = 3:5 then n=
Text Solution
|
There are 12 balls numbered from 1 to 12. The number of ways in which ...
Text Solution
|
There are 50 stations on a railway line. The number of different kinds...
Text Solution
|
The number of arrangements that can be formed by taking all the ...
Text Solution
|
The letters of the word “FLOWER” are taken four at a time and arranged...
Text Solution
|
The number of arrangements that can be formed by taking all the letter...
Text Solution
|
The different words beging and ending with a vowel that can ma...
Text Solution
|
The number of ways in which the letters of the word 'FRACTION' be arra...
Text Solution
|
The number of ways in which the letters of the word 'FRACTION' be arra...
Text Solution
|
The number of ways in which the letters of the word 'FRACTION' be arra...
Text Solution
|
The number of arrangements that can be made by using all the le...
Text Solution
|
How many ways are there to arrange the letters in the word G...
Text Solution
|
Find the number of ways of arranging the letters of the word TRIANGLE ...
Text Solution
|
The letters of the word 'MADHURI' are arranged in all possible ways. T...
Text Solution
|
The number of four digited numbers that can be formed using the digits...
Text Solution
|
The number of 5 digited numbers using 0, 1, 2,3, 4 no digit being repe...
Text Solution
|