In how many different ways can you put20 balls of the same colour into two numbered box
Consider the 1st box and choose how many balls we put into this box. We can put 0, 1, 2, ..., 20 balls - 21 options.
All another balls we put into 2nd box.
These are all ways to put 20 balls of same colour into two numbered box - 21 ways.
Answer: 21 ways.
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