![3. [5 points] Let X and Y be some finite sets with |XI 4 and |YI 8 (a) How many elements does the set XxY have? (b) How many possible subsets of the set XxY are there? (c) Among all subsets of XxY, how many are functions from X to Y? (d) Among all functions from X to Y, how many have left inverses from Y to X?](https://d2vlcm61l7u1fs.cloudfront.net/media%2F776%2F776811a5-f0c0-4a4b-8f00-3b2c8b8f6a4c%2FphpfgzY0I.png)
3. [5 points] Let X and Y be some finite sets with |XI 4 and |YI 8 (a) How many elements does the set XxY have? (b) How many
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![3. [5 points] Let X and Y be some finite sets with |XI 4 and |YI 8 (a) How many elements does the set XxY have? (b) How many possible subsets of the set XxY are there? (c) Among all subsets of XxY, how many are functions from X to Y? (d) Among all functions from X to Y, how many have left inverses from Y to X?](https://d2vlcm61l7u1fs.cloudfront.net/media%2F776%2F776811a5-f0c0-4a4b-8f00-3b2c8b8f6a4c%2FphpfgzY0I.png)
3. [5 points] Let X and Y be some finite sets with |XI 4 and |YI 8 (a) How many elements does the set XxY have? (b) How many
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