e) 7 identical objects and 4 distinct containers are available. Each object must be placed into a container. In how many ways can this be done? 604800 f) 5 distinct objects and 3 identical containers are available. Each object must be placed into a container. In how many ways can this be done? Answer: 3^5/3!
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Since the objects are identical, it doesn't matter which object goes into which container. We just need to count the number of ways to distribute the objects among the containers. This can be thought of as a stars and bars problem. We have 7 objects (stars) and 4 Show more…
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