Ajeweler designing a pin has decided to use five stones chosen from diamonds, rubies, and emeralds. in how many ways can the stones be selected?

3,125 different possible ways

Explanation:

Great question, hopefully i can shed some light on the situation. There are a total of 5 stones. One by one they are randomly picked out of the bag. We need to find how many possible combinations there are for picking the stones out of the bag. We can solve this by raising the amount of stones in the bag to its own power like so,

So now we can see there are 3,125 different possible ways of selecting the stones.

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