Home
Class 11
MATHS
The number of triangles that the can be ...

The number of triangles that the can be formed by choosing the vertices from a set of 12 points, seven of which lie on the same straight line is
(i) 105
(ii) 15
(iii) 175
(iv) 185

A

105

B

15

C

175

D

185

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS |32 Videos

  • PARABOLA

    ICSE|Exercise CHAPTER TEST |8 Videos

  • POINTS AND THEIR COORDINATES

    ICSE|Exercise CHEPTER TEST |7 Videos

Similar Questions

Explore conceptually related problems

Find the number of triangles which can be formed having vertices at angular points of a convex polygon of m sides.

The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is (i) 6 (ii) 18 (iii) 12 (iv) 9

The maximum number of points of intersection of 9 straight lines drawn in a plane is (i) 72 (ii) 36 (iii) 18 (iv) None of these

If the image of the point (-3,k) in the line 2x+y-2=0 is the point (1,5) then the value of k is (i) 2 (ii) 3 (iii) -3 (iv) 1

Ten points lie on the circumference of a circle. Which of the following is the value that results when the number of triangles that can be created by connecting these points is subtrated from the number of heptagons (seven - sided polygons) that can be created by connected these points ?

How many number from 1 and 100 written in the decimal form have the digit 5 in them? (i) 11 (ii) 10 (iii) 15 (iv) 20

If 7 points out of 12 are in the same straight line, then the number of triangles formed is

If 7 points out of 12 are in the same straight line, then the number of triangles formed is

If 7 points out of 12 are in the same straight line, then the number of triangles formed is

The number of numbers greater than 56000 that can be formed by using the digits 4,5,6,7,8, no digit being repeated in any number is (i) 18 (ii) 36 (iii) 72 (iv) 90

ICSE-PERMUTATIONS AND COMBINATIONS-MULTIPLE CHOICE QUESTIONS
  1. The number of numbers greater than 56000 that can be formed by using t...

    Text Solution

    |

  2. The number of six digit numbers that can be formed by using the digits...

    Text Solution

    |

  3. The number of signals that can be made by 4 flags of different colours...

    Text Solution

    |

  4. In a examination there are four multiple choice questions and each que...

    Text Solution

    |

  5. The number of words that can be be formed out of the letters of the wo...

    Text Solution

    |

  6. In how many ways a committee consisting of 3 men and 2 women can be ch...

    Text Solution

    |

  7. Total number of words formed by 3 vowels and 3 consonants taken from 5...

    Text Solution

    |

  8. Out of 5 men and 2 women a committee of 3 persons is to be formed so a...

    Text Solution

    |

  9. The number of ways of selecting 9 balls from 6 red balls, 5 white ball...

    Text Solution

    |

  10. Every body in a room shakes hands with everybody else. The total numbe...

    Text Solution

    |

  11. The number of triangles that the can be formed by choosing the vertice...

    Text Solution

    |

  12. The maximum number of points of intersection of 9 straight lines drawn...

    Text Solution

    |

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

    Text Solution

    |

  14. The number of ways in which a team of eleven players can be selected f...

    Text Solution

    |

  15. The number of 5 digit numbers having atleast one of their digit repeat...

    Text Solution

    |

  16. Eighteen guests are to be seated half on each side of a long table. Fo...

    Text Solution

    |

  17. The number of ways in which 12 different objects can be divided into t...

    Text Solution

    |

  18. The number of ways of distributing 12 identical balls in 5 different b...

    Text Solution

    |

  19. If the letters of the word 'RACHIT' are arranged in all possible ways ...

    Text Solution

    |

  20. The number of ways in which m men and n women can be seated in a row, ...

    Text Solution

    |