Home
Class 12
MATHS
There are n points in a plane no thre...

There are n points in a plane no three of which are in the same line excepting p points which are collinear . The number of triangle fomed by joining them is

A

`""^(n)C_(3)`

B

`""^(n)C_(3)-""^(p)C_(3)`

C

`""^((n-p))C_(3)`

D

`""^(n)C_(3)-""^(p)C_(3)+1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS & COMBINATIONS

    AAKASH SERIES|Exercise EXERCISE-II|229 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 21 points in a plane no three of which are collinear. The number of triangles formed 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

In a plane there are 10 points, no three are in same straight line except 4 points which are collinear, then the number of triangles formed are

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

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

There are 12 points in a plane ,5 only of which are collinear . The number of triangles which can be formed by joining the points is

In a plane there are 10 points, no three are in same straight line except 4 points which are collinear, then the number of straight lines are

If these are 8 points on a circle, Number of triangles formed by joining these points is

AAKASH SERIES-PERMUTATIONS & COMBINATIONS-PRACTICE EXERCISE
  1. A set of m parallel lines intersect another set of n parallel lines in...

    Text Solution

    |

  2. There are n points in a plane no three of which are in the same...

    Text Solution

    |

  3. There are n points in a plane no three of which are in the same...

    Text Solution

    |

  4. p points are chosen on each of the three coplanar lines. The maximum n...

    Text Solution

    |

  5. A regular polygon of 10 sides is constructed No. of ways 3 vertices be...

    Text Solution

    |

  6. A man has 6 friends. The number of ways can he invite one or more of t...

    Text Solution

    |

  7. The number of ways in which one or more balls can be selected...

    Text Solution

    |

  8. A Fruits basket contains 4 organes , 5 apples and 6 mangoes ....

    Text Solution

    |

  9. In a cross word puzzle 25 words are to be gussed of which 5 ...

    Text Solution

    |

  10. How many different sums can be formed with the following coins ...

    Text Solution

    |

  11. A question paper contains 6 question each having an alternativ...

    Text Solution

    |

  12. In a packet there are m different books, n different pens and p differ...

    Text Solution

    |

  13. The number of divisors of 2^(6)3^(5)5^(3)7^(4)11 is

    Text Solution

    |

  14. The sum of divisores of 2^(5).3^(4) is

    Text Solution

    |

  15. The number of positive divisors of 2 ^5 , 3^6 ,7^3 is

    Text Solution

    |

  16. The number of all positive divisors of 2 ^5 , 3^4 , 5^3 is

    Text Solution

    |

  17. Number of even proper divisors of 1008 is

    Text Solution

    |

  18. The number of positive odd divisors of 216 is

    Text Solution

    |

  19. The number of odd factors of 36000 is

    Text Solution

    |

  20. The number of ways the numbers 10,800 can be resolved as a product of ...

    Text Solution

    |