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  • Question
  • In how many different ways can 6 different balls be distributed to 4 different boxes, when each box can hold any number of ball?


  • Options
  • A. 2048
  • B. 1296
  • C. 4096
  • D. 576

  • Correct Answer
  • 4096 

    Explanation

    Every ball can be distributed in 4 ways. 

    Hence the required number of ways = 4 x 4 x 4 x 4 x 4 x 4 = 4096


  • Permutation and Combination problems


    Search Results


    • 1. In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?

    • Options
    • A. 15
    • B. 10
    • C. 25
    • D. 20
    • Discuss
    • 2. In how many ways can 4 sit at a round table for a group discussions?

    • Options
    • A. 9
    • B. 3
    • C. 6
    • D. 12
    • Discuss
    • 3. When Dr. Ram arrives in his dispensary, he finds 12 patients waiting to see him. If he can see only one patients at a time,find the number of ways, he can schedule his patients if 3 leave in disgust before Dr. Ram gets around to seeing them.

    • Options
    • A. 479001600
    • B. 79833600
    • C. 34879012
    • D. 67800983
    • Discuss
    • 4. In how many different ways can 3 students be associated with 4 chartered accountants,assuming that each chartered accountant can take at most one student?

    • Options
    • A. 12
    • B. 36
    • C. 24
    • D. 16
    • Discuss
    • 5. How many 3 letters words can be formed using the letters of the words hexagon?

    • Options
    • A. 120
    • B. 210
    • C. 160
    • D. 200
    • Discuss
    • 6. What is the total no of ways of selecting atleast one item from each of the two sets containing 6 different items each?

    • Options
    • A. 2856
    • B. 3969
    • C. 480
    • D. None of these
    • Discuss
    • 7. 16 persons are participated in a party. In how many differentways can they host the seat in a circular table, if the 2particular persons are to be seated on either side of the host?

    • Options
    • A. 16! × 2
    • B. 14! × 2
    • C. 18! × 2
    • D. 14!
    • Discuss
    • 8. Two pipes A and B can fill a tank in 15 minutes and 20 minutes respectively. Both the pipes are opened together but after 4 minutes, pipe A is turned off. What is the total time required to fill the tank?

    • Options
    • A. 10 min. 20 sec.
    • B. 11 min. 45 sec.
    • C. 12 min. 30 sec.
    • D. 14 min. 40 sec.
    • Discuss
    • 9. A pump can fill a tank with water in 2 hours. Because of a leak, it took 213 hours to fill the tank. The leak can drain all the water of the tank in:

    • Options
    • A. 7 hours
    • B. 8 hours
    • C. 12 hours
    • D. 14 hours
    • Discuss
    • 10. A tap can fill a tank in 6 hours. After half the tank is filled, three more similar taps are opened. What is the total time taken to fill the tank completely?

    • Options
    • A. 3 hrs 15 min
    • B. 3 hrs 45 min
    • C. 4 hrs 15 min
    • D. 4 hrs 1
    • Discuss


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