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Combinations: Practice Question of the Week #5 Answer!


In how many ways can 16 different gifts be divided among four children such that each child receives exactly four gifts?

A. 16^4

B. (4!)^4

C. (16!)/(4!)^4

D. (16!)/(4!)

E. 4^16

The answer is C. (16!)/(4!)^4

This one was tricky– hopefully the video will help you out if you didn’t get the answer right away. Let us know if there’s anything you’re confused about, whether it’s this problem or probability in general!

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3 Responses to Combinations: Practice Question of the Week #5 Answer!

  1. Monisha September 8, 2011 at 5:43 am #

    According to me, the answer should be 4* 16!/ (4!) to the power 4.
    this is coz finally there are 4 kids among whom the chosen gifts can be distributed. M nt
    sure however.

    • Meenu November 27, 2011 at 7:20 am #


      I guessed it like 4! * 16! / (4!)^4 = 16! / (4!) ^ 3

      This will be the case if one among 4 children are to be chosen to give gifts.

      • Tejas August 7, 2013 at 2:33 am #

        Yes I too fell permutation need to be applied

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