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  • Question
  • There are 10 points in a plan, out of which 5 are collinear. Find the number of straight lines formed by joining them.


  • Options
  • A. 36
  • B. 45
  • C. 30
  • D. 35

  • Correct Answer
  • 36 

    Explanation

    Required number of straight lines
    =nC2 - mC2 + 1

    Here, n = 10, m = 5
    = 10C2 - 5C2 + 1
    = 45 - 10 + 1 = 36


  • Permutation and Combination problems


    Search Results


    • 1. 
      Find the number of diagonals formed in hexagon .

    • Options
    • A. 12
    • B. 10
    • C. 6
    • D. 9
    • Discuss
    • 2. 
      There is a polygon of 12 sides . How many triangles can be drawn using the vertices of polygon?

    • Options
    • A. 200
    • B. 220
    • C. 240
    • D. 260
    • Discuss
    • 3. 
      In how many ways, a cricket team of 11 players can be made from 15 players, if a particulars player is always chosen?

    • Options
    • A. 1835
    • B. 1001
    • C. 1635
    • D. 1365
    • Discuss
    • 4. 
      In how many ways, a committee of 3 men and 2 women can be formed out of a total of 4 men and 4 women?

    • Options
    • A. 15
    • B. 16
    • C. 20
    • D. 24
    • Discuss
    • 5. 
      How many necklaces of 12 beads can be made from 18 beads of various colours?

    • Options
    • A. [118 x 13!] / 2
    • B. [110 x 14! ] / 2
    • C. [119 x 13!] / 2
    • D. [110 x 12!] / 2
    • Discuss
    • 6. 
      In how many ways, 12 balls can be divided between 2 boys, one receiving 5 and the other 7 balls?

    • Options
    • A. 1784
    • B. 1584
    • C. 1854
    • D. 1560
    • Discuss
    • 7. 
      Find the number of combinations that can be formed with 5 oranges, 4 mangoes and 3 bananas, when one fruit of each kind is taken.

    • Options
    • A. 60
    • B. 120
    • C. 110
    • D. 75
    • Discuss
    • 8. 
      There are 10 questions in a question paper. In how many ways, a student can solve there questions, if he solves one or more question?

    • Options
    • A. 1024
    • B. 1025
    • C. 1023
    • D. 1000
    • Discuss
    • 9. 
      In how many ways, can 15 people be seated around two round tables with seating capacities of 7 and 8 people?

    • Options
    • A. 15!/(8!)
    • B. 7!/88!
    • C. 15C8 x 6! x 7!
    • D. 15C8 x 8!
    • Discuss
    • 10. 
      O and A occupying end places.

    • Options
    • A. 12
    • B. 14
    • C. 20
    • D. 18
    • Discuss


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