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I have 220 items to fill a list of lists with, where, the outer list consists of 45 inner lists.

Each of the 45 inner lists can have:

  1. Maximum of 10 items.
  2. Can be empty.

So, the list of lists can have up to a maximum of 450 items, but we only need to fill 220 spots and the rest will be empty.

  • The order of the items inside the inner list does not matter.
  • An item can only be used once throughout the all 45 lists.
  • The order of the inner lists matters. [[3,4], [1,2]] is not equal [[1,2], [3,4]]

E.g:

[[1,2],[9,7,55,66,77,99], [], [23,42,51,11], ...]

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    An item can only be used once per list, or once throughout all $45$ lists? – 2017-02-23
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    @KevinLong An item can only be used once thoughout all lists – 2017-02-23
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    Does the order of the inner lists matter? e.g. is $[[1, 2], [3, 4]]$ different from $[[3, 4], [1, 2]]$? – 2017-02-23
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    Does every item have to be used at all? – 2017-02-23
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    @MarcusStuhr Yes, [[1,2], [3,4]] is different from [[3,4],[1,2]] – 2017-02-23
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    @KevinLong Yes, all items must be used. – 2017-02-23
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    At least $_{220}C_{10}*_{210}C_{10}*_{200}C_{10}・・・$. – 2017-07-08

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