Water Combinatorics

You have 10 different empty containers: 6 can contain up to 3 L of water and 4 can contain up to 8 L of water.

How many ways are there to fill up exactly 46 L of water into these containers, such that the number of liters of water in each container is an integer?

Details and Assumptions:

  • The order of filling the containers is irrelevant.
  • You cannot take water out from any of the 1010 containers.
  • There are no spills.

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