Home
Class 12
MATHS
The number of triangles that are formed ...

The number of triangles that are formed by choosing the vertices from a set of 12 points , seven of which lie on the same line, is :

A

105

B

15

C

175

D

185

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|233 Videos
  • PROBABILITY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|213 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

The number of straight lines can be formed through any two points out of 10 points of which 7 are collinear

Let T_n denote the number of triangles which can be formed using the vertices of a regular polygon of n sides . If T_(n+1)-T_n=21 , then n equals :

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel line intersecting another set of three parallel lines is:

The number of functions that can be formed from the set A={a, b, c, d} into the set B={1,2,3} is equal to

What is the general form of the points which lie on X-axis?

The area of the triangle formed by the lines joining the vertex of the parabola x^(2)=12y to the ends of latus rectum is

The range of values of theta in the interval (0, pi) such that the points (3,2) and (cos theta, sin theta) lie on the same side of the line x+y-1=0 is

ABC is an equilateral triangle such that the vertices B and C lie on two parallel lines at a distance 6. If A lies between the parallel lines at a distance 4 from one of them, then the length of a side of the equilateral triangle is :

HIMALAYA PUBLICATION-PERMUTATION AND COMBINATIONS-Question Bank
  1. The number of ways in which a team of eleven players can be selected ...

    Text Solution

    |

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

    Text Solution

    |

  3. The number of triangles that are formed by choosing the vertices from ...

    Text Solution

    |

  4. Everybody in a room shakes hand with everybody else. The total number ...

    Text Solution

    |

  5. A five digit number divisible by 3 is to be formed using the numbers 0...

    Text Solution

    |

  6. Total number of words formed by 2 vowels and 3 consonants taken from 4...

    Text Solution

    |

  7. The sum of the digits in unit place of all the numbers formed with the...

    Text Solution

    |

  8. The number of possible outcomes when a coin is tossed 6 times is :

    Text Solution

    |

  9. If '^(n)C(12) = ""^(n)C(8) then n is equal to

    Text Solution

    |

  10. The straight lines , l1,l2 and l3 are parallel and lie in the same pla...

    Text Solution

    |

  11. In an examination there are three multiple choice questions and each ...

    Text Solution

    |

  12. number of triangles formed with vertices at these points are

    Text Solution

    |

  13. How many different nine - digit numbers can be formed from the number ...

    Text Solution

    |

  14. Let A = {1, 2, 3, 4} and B = {1, 2}. Then the number of onto functions...

    Text Solution

    |

  15. Let Tn denote the number of triangles which can be formed using the ve...

    Text Solution

    |

  16. For 2le rlen,{:((n),(r)):}+2({:(n),(r-1):})({:(n),(r-2):})=

    Text Solution

    |

  17. The number of arrangements of the letters of the word ' BANANA ' in w...

    Text Solution

    |

  18. The sum sum(i=0)^(m)((10),(i))((20),(m-i)) (where ((p)/(q))=0, if pltq...

    Text Solution

    |

  19. If ""^(n-1)Cr=(k^2-3)""^nC(r+1), then kin :

    Text Solution

    |

  20. The letters of the word ' COCHIN ' are permuted and all permutations a...

    Text Solution

    |