In how many different ways can you put20 balls of the same colour into two numbered box

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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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Question ID: mtid-5-stid-8-sqid-692-qpid-577