English: With n bosonic particles (blue) to be distributed to g boxes we have (n + g - 1)!/(n! (g-1)!) possibilities as the full set of n particles and g - 1 partitions can be rearranged among themselves with (n + g - 1)! possible arrangements out of which the total arrangement of particles n! and total arrangement of the partitions (g - 1)! do not offer distinct possibilities.
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The image represents one possible distribution of bosonic particles in different boxes. The box partitions (green) can be moved around to change the size of the boxes and as a result of the number of bosons each box can contain.