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Little Nadia is going to put 16 different toys into 3 different toy boxes. Each toy...

Little Nadia is going to put 16 different toys into 3 different toy boxes. Each toy could be put into any one of the boxes. In how many ways can she put the toys in the boxes if she is not going to put all the toys into one box?

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Answer #1

Number of ways that 16 different toys can be put in 3 different boxes such that all dont go into one box is computed here as:

= Total number of ways to put 16 different toys in 3 boxes - Total number of ways to put 16 different toys in one of the 3 boxes

= 316 - (3c1)

= 43046718

Therefore there are 43046718 ways to put the toys here.

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