Home
Class 12
MATHS
Sixty points lie on a plane, out of whic...

Sixty points lie on a plane, out of which no three points are collinear. How many straight lines can be formed by joining pairs of points ?

Text Solution

Verified by Experts

Sixty points lie on a plane, out of which no.3 points are collinear. A straight line required two points.
The number of straight lines formed by joining 60 points is `""^60C^2 = (60!)/(2xx58!)=(60xx59)/2=1770`
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    MBD PUBLICATION|Exercise QUESTION BANK|139 Videos
  • PRINCIPLES OF MATHEMATICAL INDUCTION

    MBD PUBLICATION|Exercise QUESTION BANK|16 Videos

Similar Questions

Explore conceptually related problems

There are n+r points on a plane out of which n points lie on a straight line L and out of the remaining r points that lie outside L, no three points are collinear. What is the number of straight lines that can be formed by joining pairs of there points ?

Prove that the area of any triangle is equal to four times the area of the triangle formed by joining the mid points of its sides.

At triple point how many phases coexist ?

A charge - is to be placed at either point A or point B in the figure. Consider points A and B lie on a line that is midway between the to positive charges. Is'the net force experienced at point A (i) greater than, (ii) equal to or (iii) less than the net force experienced at point B? Explain.

Show that the points (a+5,a-4),(a-2,a+3) and (a,a) do not lie on a straight line for any value of a .

MBD PUBLICATION-PERMUTATIONS AND COMBINATIONS-QUESTION BANK
  1. From five consonants and four vowels, how many words consist of three ...

    Text Solution

    |

  2. In how many ways can a committee of four gentlemen and three ladies b...

    Text Solution

    |

  3. A bag contains 4 black and 5 white balls out of which 6 balls are draw...

    Text Solution

    |

  4. How many triangles can be drawn by joining the vertices of a decagon ?

    Text Solution

    |

  5. How many triangles can be drawn by joining the vertices and the centre...

    Text Solution

    |

  6. Sixty points lie on a plane, out of which no three points are collinea...

    Text Solution

    |

  7. In how many ways can 10 boys and 10 girls sit in a row so that no two ...

    Text Solution

    |

  8. In how many ways can six men and seven girls sit in a row so that the ...

    Text Solution

    |

  9. How many factors does 1155 have that are divisible by 3?

    Text Solution

    |

  10. How many factors does 210 have ?

    Text Solution

    |

  11. If n is a product of k distinct primes what is the total number of fac...

    Text Solution

    |

  12. If m has the prime factor decomposition P1^(r1),P2^(r2)…….Pn^(rn),what...

    Text Solution

    |

  13. If 20! Were multiplied out, how many consecutive zeros would it have o...

    Text Solution

    |

  14. How many factors of 10,000 end with a 5 on the right ?

    Text Solution

    |

  15. A man has 6 friends. In how many ways can he invite two or more to a d...

    Text Solution

    |

  16. In how many ways can a student choose 5 courses out of 9 if 2 courses ...

    Text Solution

    |

  17. In how many ways can a student choose five courses out of the courses....

    Text Solution

    |

  18. A cricket team consisting of 11 players is to be chosen from 8 batsmen...

    Text Solution

    |

  19. There are n+r points on a plane out of which n points lie on a straigh...

    Text Solution

    |

  20. There are 10 books in a shelf with different titles:five or these have...

    Text Solution

    |