Home
Class 11
MATHS
There are 11 points in a plane. No thre...

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 ?

Text Solution

Verified by Experts

The correct Answer is:
(i) =55-6+1=50 ,(ii) =165-4=161
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise EXERCISE 4.4|15 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise EXERCISE 4.5|25 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    FULL MARKS|Exercise EXERCISE 4.2|19 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    FULL MARKS|Exercise Additional Questions Solved|31 Videos

  • DIFFERENTIAL CALCULUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION

    FULL MARKS|Exercise EXERCISE 5 ADDITIONAL PROBLEMS (Find the derivative of following functions.)|10 Videos

Similar Questions

Explore conceptually related problems

Out of 18 points in a plane, no three are in the same line except five points which are collinear. Find the number of lines that can be formed joining the points.

There are 10 points in a plane and 4 of them are collinear. The number of straight lines joining any two points is

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

There are 8 points in a plane, no three of them are collinear .The number of triangles that can be formed is:

There are 10 points in a plane and 3 of them are collinear. The number of straight line joining any two points is ……….. .

There are 10 points on a plane of which 5 points are collinear. Also, no three of the remaining 5 points are collinear. Then find (i) the number of straight lines joining these points: (ii) the number of triangles, formed by joining these points.

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

FULL MARKS-COMBINATORICS AND MATHEMATICAL INDUCTION-EXERCISE 4.3
  1. If .^(n+2) C(8) : ^((n-2)) P(4) = 57: 16 , find the value of n.

    Text Solution

    |

  2. Prove that .^(2n)C(n) = ( 2^(n) xx 1 xx 3 xx …(2n-1))/(n!)

    Text Solution

    |

  3. Prove that if 1 le r le n " then " n xx^((n-1))C(r-1)= (n-r+1).^(n)...

    Text Solution

    |

  4. (i) A kabaddi coach has 14 players ready to play. How many different t...

    Text Solution

    |

  5. Find the total number of subsets of a set with . (i) 4 elements (...

    Text Solution

    |

  6. A trust has 25 members . (i) How many ways 3 officers can be sel...

    Text Solution

    |

  7. How many ways a committee of six persons from 10 persons can be chosen...

    Text Solution

    |

  8. How many different selections of 5 books can be made from 12 differe...

    Text Solution

    |

  9. There are 5 teachers and 20 students. Out of them a committee of 2 tea...

    Text Solution

    |

  10. In an examination a student has a answer 5 questions, out of 9 quest...

    Text Solution

    |

  11. Determine the number of 5 card combinations out of a deck of 52 car...

    Text Solution

    |

  12. Find the number of ways of forming a committee of 5 members out of...

    Text Solution

    |

  13. A committee of 7 peoples has to be formed from 9 men and 4 women . In ...

    Text Solution

    |

  14. 7 relatives of a man comprises 4 ladies and 3 gentlemen, his wife also...

    Text Solution

    |

  15. A box contains two white balls, three black balls and four balls. In...

    Text Solution

    |

  16. Find the number of strings of 4 letters that can be formed with the le...

    Text Solution

    |

  17. How many triangle can be formed by joining 15 points on the plane, in ...

    Text Solution

    |

  18. How many triangles can be formed by 15 points , in which 7 of them ...

    Text Solution

    |

  19. There are 11 points in a plane. No three of these lies in the same ...

    Text Solution

    |

  20. A polygon has 90 diagonals. Find the number of its sides ?

    Text Solution

    |