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Discrete Math:
Let A be a set and P(A) be the power set of A. True or false with explanation
a. There is an injection from A to P(A).
b. There is a surjection from A to P(A).
Solution
Cardinality of power set P(A) is more than set A
a. Injection from A to P(A) is true as an element P(A) is connected with atmost one element of
A.
b.
Surjection from A to P(A) is false at there is elements in P(A) which are not connected with A.

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