Consider a box partitioned into four cells. Three balls are dropped into the box, each independently of the other, in such a way that every cell has an equal chance of receiving a ball. Balls are...

Consider a box partitioned into four cells. Three balls are dropped into the box, each independently of the other, in such a way that every cell has an equal chance of receiving a ball. Balls are indistinguishable. a) List all possible arrangements in the cells if any cell can contain upto two balls. [0210] is an example of a particular arrangement. b) List all possible arrangements in the cells if no cell can have more than one ball. Note: Use a tree diagram