CBSE  /  Class 11  /  Maths  /  Permutations and Combinations

  • 1. 
    There are 12 points in a plane out of which 5 are collinear. The number of triangles formed by the points as vertices is

  • 185
  • 210
  • 220
  • 175

  • 2. 
    The number of combination of n distinct objects taken r at a time be x is given by

  • n/2Cr
  • n/2Cr/2
  • nCr/2
  • <nCr

  • 3. 
    Four dice are rolled. The number of possible outcomes in which at least one dice show 2 is

  • 1296
  • 671
  • 625
  • 585

  • 4. 
    If repetition of the digits is allowed, then the number of even natural numbers having three digits is

  • 250
  • 350
  • 450
  • 550

  • 5. 
    The number of ways in which 8 distinct toys can be distributed among 5 children is

  • 58
  • 85
  • 8P5
  • 5P5

  • 6. 
    The value of P(n, n - 1) is

  • n
  • 2n
  • n!
  • 2n!

  • 7. 
    In how many ways can 4 different balls be distributed among 5 different boxes when any box can have any number of balls?

  • 58
  • 85
  • 8P5
  • 5P5

  • 8. 
    The number of ways of painting the faces of a cube with six different colors is

  • 1
  • 6
  • 6!
  • None of these

  • 9. 
    Out of 5 apples, 10 mangoes and 13 oranges, any 15 fruits are to be distributed among 2 persons. Then the total number of ways of distribution is

  • 1800
  • 1080
  • 1008
  • 8001

  • 10. 
    6 men and 4 women are to be seated in a row so that no two women sit together. The number of ways they can be seated is

  • 604800
  • 17280
  • 120960
  • 518400
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