Home
Class 11
MATHS
There are 10 points in a plane and 4 o...

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

A

45

B

40

C

39

D

38

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section -A)|7 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - B)|4 Videos

  • COMBINATORICS AND MATHEMATICAL INDUCTION

    SURA PUBLICATION|Exercise Exercise 4.4|15 Videos

  • BINOMIAL THEOREM, SEQUENCES AND SERIES

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS|10 Videos

  • DIFFERENTIAL CALCULUS - LIMITS AND CONTINUITY

    SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (SECTION - D)|4 Videos

Similar Questions

Explore conceptually related problems

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

There are 10 points on a plane of which no three points are collinear. If lines are formed joining these points, find the maximum points of intersection of these lines.

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.

There are 10 points in a plane no three of which are collinear except 4 of them which lie on a line. The number of straight lines determined by them is

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?

Prove that any three points on a circle cannot be collinear.

SURA PUBLICATION-COMBINATORICS AND MATHEMATICAL INDUCTION -Exercise 4.5
  1. If .^(n+5) P(n +1) = ((11(n-1))/2) .^(n +3) P(n) then the value of n...

    Text Solution

    |

  2. The product of r consecutive positive integers is divisible by

    Text Solution

    |

  3. The number of five digit telephone numbers having at least one of ...

    Text Solution

    |

  4. If .^(a^(2-a)) C(2) = a^(2-a) C(4) then the value of a is

    Text Solution

    |

  5. There are 10 points in a plane and 4 of them are collinear. The nu...

    Text Solution

    |

  6. The number of ways in which a host lady invite 8 people for a par...

    Text Solution

    |

  7. The number of parallelograms that can be formed from a set of four...

    Text Solution

    |

  8. Everybody in a room shakes hands with everybody else. The total n...

    Text Solution

    |

  9. Number of sides of a polygon having 44 diagonals is

    Text Solution

    |

  10. If 10 lines are drawn in a plane such that no two of them are parallel...

    Text Solution

    |

  11. In a plane are 10 points are there out of which 4 points are coll...

    Text Solution

    |

  12. In .^(2n)C(3) :.^(n)C(3) = 11 : 1 then n is

    Text Solution

    |

  13. .^((n-1)C(r) + ^((n-1)) C((r-1)) is

    Text Solution

    |

  14. The number of ways of choosing 5 cards out of a deck of 52 which ...

    Text Solution

    |

  15. The number of rectangles that a chessboard has

    Text Solution

    |

  16. The number of 10 digit number that can be written by using the digit...

    Text Solution

    |

  17. If P stands for P(r) then the sum of the series 1 + P(1) + 2P(2)...

    Text Solution

    |

  18. The product of first n odd natural numbers equals:

    Text Solution

    |

  19. If ''C(4),''C(5),''C(6) are in AP then value of n is

    Text Solution

    |

  20. 1 +3 + 5 + 7 + …. 17 is equal to

    Text Solution

    |