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  • Question
  • There are 10 oranges in a basket. Find the no. of ways in which 3 oranges are chosen from the basket?


  • Options
  • A. 125
  • B. 140
  • C. 110
  • D. 120

  • Correct Answer
  • 120 

    Explanation

    Required number of ways = 10C3
    = 10!/ {3! (10 - 3)!} = 10! / (3! 7!) = (10 x 9 x 8) / (3 x 2) = 120


  • Permutation and Combination problems


    Search Results


    • 1. 
      How many groups of 6 persons can be formed from 8 men and 7 women?

    • Options
    • A. 5000
    • B. 5005
    • C. 5050
    • D. None of these
    • Discuss
    • 2. 
      If 56P r + 6 : 54P r + 3 = 30800 : 1 then the value of r is?

    • Options
    • A. 40
    • B. 41
    • C. 42
    • D. None of these
    • Discuss
    • 3. 
      If three marbles are picked at random, what is the probability that at least one is blue?

    • Options
    • A. 7/12
    • B. 37/44
    • C. 5/12
    • D. 7/44
    • Discuss
    • 4. 
      If a 4- digit number is formed at random using the digit 1, 3, 5, 7 and 9 without repetition, then the probability that it is divisible by 5, is

    • Options
    • A. 4/5
    • B. 3/5
    • C. 1/5
    • D. 2/3
    • Discuss
    • 5. 
      A dice is rolled three times and sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was four is

    • Options
    • A. 2/5
    • B. 1/5
    • C. 1/6
    • D. None of these
    • Discuss
    • 6. 
      There are 25 students in a class. Find the number of ways in which a committee of 3 students is to be formed.?

    • Options
    • A. 2200
    • B. 2300
    • C. 2400
    • D. 3200
    • Discuss
    • 7. 
      8 men entered a lounge simultaneously. If each person shook hands with the other, then find the total no. of hand shakes?

    • Options
    • A. 16
    • B. 36
    • C. 56
    • D. 28
    • Discuss
    • 8. 
      If n+2C 8 : n- 2P 4 = 57 : 16 then the value of n is?

    • Options
    • A. 20
    • B. 19
    • C. 18
    • D. 17
    • Discuss
    • 9. 
      Find the value of 5 P 2.

    • Options
    • A. 15
    • B. 18
    • C. 20
    • D. 122
    • Discuss
    • 10. 
      If 50c r = 50c r + 2 find r.

    • Options
    • A. 24
    • B. 23
    • C. 22
    • D. 21
    • Discuss


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