Four Identical Dice
Four indistinguishable standard six-sided dice are rolled. An outcome is recorded only as the multiset of faces showing (for example, {1, 1, 4, 6}), since the dice cannot be told apart. How many different outcomes are possible? Give an integer.
Related problems & prerequisites
Worth solving first
- Stars and Bars 3.0/10
- PINs Summing to Twenty 3.0/10
Source: Classic counting exercise in wide circulation; no traceable original source. Statement written for AxiomIQ.