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Set A has m distinct elements and set B has n distinct elements. Then how many different mappings from set A to set B can be formed?

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Set A has m distinct elements and set B has n distinct elements. Then how many different mappings from set A to set B can be formed?
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Since each element(preimage) in set A can corresponds to any one of the n elements (images) in set B, the number of mappings can be formed is `n xx n xx n … m" times "=n^(m)`.
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