Home
Class 12
MATHS
The number of straight lines that can be...

The number of straight lines that can be formed by joining 20 points of which 4 points are collinear is

A

183

B

186

C

197

D

185

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|65 Videos
  • MATHEMATICAL REASONING

    NEW JOYTHI PUBLICATION|Exercise QUESTION FROM COMPETITIVE EXAMS|23 Videos
  • PRINCIPLES OF MATHEMATICAL INDUCTION

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|4 Videos

Similar Questions

Explore conceptually related problems

The number of triangles that can be formed with 10 points as vertices n of them being collinear, is 110. Then n is a. 3 b. 4 c. 5 d. 6

How many triangles can be obtained by joining 10 points five of which are collinear.

There are 11 points in a plane. No three of these lies in the same straight line except 4 points, which are collinear. Find , (i) the number of straight lines that can be obtained from the pairs of these points ? (ii) the number of triangles that can be formed for which the points are their vertices ?

There are 11 points in a plane. No three of these lies in the same straight line except 4 points, which are collinear. Find, (i) the number of straight lines that can be obtained from the pairs of these points? (ii) the number of triangles that can be formed for which the points are their vertices?

How many lines can be drawn given six points of which 3 are collinear?

How many triangles can be formed by joining 15 points on the plane , in which no line joining any three points ?

How many triangles can be formed by joining 15 points on the plane, in which no line joining any three points?

How many triangle can be formed by joining 15 points on the plane, in which on line joining any three points?

NEW JOYTHI PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If n and r are two positive integers such that nger,"then "^(n)C(r-1)+...

    Text Solution

    |

  2. If ""^(4)C(r)=""^(4)C(r+1), then the value of r is

    Text Solution

    |

  3. The number of straight lines that can be formed by joining 20 points o...

    Text Solution

    |

  4. The number of ways in which a committee of 6 members can be formed fro...

    Text Solution

    |

  5. Evaluate the following: ""^(20)C(4)=

    Text Solution

    |

  6. Let N be the number of quadratic equations with coefficients from {0, ...

    Text Solution

    |

  7. If ""^(n)C(3)=220, then n = ?

    Text Solution

    |

  8. A polygon has 54 diagonals. Number of sides of this polygon is

    Text Solution

    |

  9. In how many ways can 8 students be arranged in a row?

    Text Solution

    |

  10. The number of different permutations of the word word 'BANANA' is

    Text Solution

    |

  11. Rank of the word " MOTHER " is

    Text Solution

    |

  12. Six X's have to be placed in the squares of the figure below, such tha...

    Text Solution

    |

  13. A student is to answer 10 out of 13 questions in an examination such t...

    Text Solution

    |

  14. The value of sum(n=1)^(oo)(""^(n)C(0)+.......+""^(n)C(n))/(""^(n)P(n))

    Text Solution

    |

  15. Evaluate the following: ""^(20)C(1)=

    Text Solution

    |

  16. The number of triangles which can be formed by using the vertices of a...

    Text Solution

    |

  17. Evaluate the following: ""^(15)C(2)=

    Text Solution

    |

  18. The number of ways in which 21 objects can be grouped into three group...

    Text Solution

    |

  19. Evaluate the following: ""^(105)C(0)=

    Text Solution

    |

  20. Evaluate the following: ""^(10)C(3)=

    Text Solution

    |