Five different balls (1, 2, 3, 4 and 5) are distributed into four different urns (i, ii, iii, and iv). Each urn may not receive any ball, may receive exactly one ball, or more than one ball.
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The number of ways to distribute the balls for this case is ... 2. 1-2-2 one box gets one ball and the remaining two boxes get two ... the total number of ways to put 5 different balls into 1 or 2 ...
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