# Onto functions

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Let P be the power set of {a,b,c}. A function: f: P -> Z follows: For A in P, f(A) = the number of elements in A. Is f one-to-one? Prove or disprove. Is f onto? Prove or disprove.

Â© BrainMass Inc. brainmass.com March 6, 2023, 12:49 pm ad1c9bdddfhttps://brainmass.com/math/graphs-and-functions/22610

#### Solution Summary

This is a proof regarding the number of elements in a set.

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