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Can you solve this DAT/OAT Quantitative Reasoning problem?

This permutation problem tests an important counting strategy: arranging objects when certain objects cannot be next to each other.

We have three 5-carbon sugars (pentoses) and five 6-carbon sugars (hexoses). How many different arrangements are possible if the pentoses cannot be next to each other?

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Give the problem a try before looking at the solution.


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