Question

How many ways can we put 10 identical red balls and 10 identical blue balls into...

How many ways can we put 10 identical red balls and 10 identical blue balls into 4 distinct urns such that:

  • there is no constraint?

  

  • first urn has at least 1 red ball and 2 blue balls?
  • each urn has at least 1 ball? (hint: inclusion-exclusion principle)

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