### Instruction: How many ways are there to put 4 indistinguishable balls into 2 distinguishable boxes?### Response: This is a problem of counting the number of partitions of 4 into 2 parts, where the order of the parts matters.
One way to approach this problem is to list all the possible partitions and count them.
The partitions are: (4, 0), (3, 1), (2, 2), (1, 3), and (0, 4).
There are 5 of them, so the answer is 5.