logo

CuriousTab

CuriousTab

Discussion


Home Aptitude Permutation and Combination See What Others Are Saying!
  • Question
  • A local delivery company has three packages to deliver to three different homes. if the packages are delivered at random to the three houses, how many ways are there for at least one house to get the wrong package?


  • Options
  • A. 3
  • B. 5
  • C. 3!
  • D. 5!

  • Correct Answer


  • Explanation

    The possible outcomes that satisfy the condition of "at least one house gets the wrong package" are:
    One house gets the wrong package or two houses get the wrong package or three houses get the wrong package.

    We can calculate each of these cases and then add them together, or approach this problem from a different angle.
    The only case which is left out of the condition is the case where no wrong packages are delivered.

    If we determine the total number of ways the three packages can be delivered and then subtract the one case from it, the remainder will be the three cases above.

    There is only one way for no wrong packages delivered to occur. This is the same as everyone gets the right package.

    The first person must get the correct package and the second person must get the correct package and the third person must get the correct package.
     1×1×1=1

    Determine the total number of ways the three packages can be delivered.
     3×2×1=6

    The number of ways at least one house gets the wrong package is:
      6?1=5
    Therefore there are 5 ways for at least one house to get the wrong package.


  • More questions

    • 1. 
      The median for the data 2, 4, 6, 8, 10, 12, 14 is

    • Options
    • A. 6
    • B. 8
    • C. 9.5
    • D. 10
    • Discuss
    • 2. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 3. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 4. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 5. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 6. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 7. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 8. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 9. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 10. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss


    Comments

    There are no comments.

Enter a new Comment