A. Find the indicated sets. 2.ℙ({1,2,3,4}) 6. ℙ({1,2})x ℙ({3}) 10. {Xϵ ℙ({1,2,3}):│X│≤1} B. Suppose that │A│=m and │B│=n. Find the following cardinalities. 14. │ ℙ(ℙ(A))│ 18. │ ℙ(Ax ℙ(B))│

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(2) Number of elements = 4

So power of set= 2n = 2n = 16

P({1,2,3,4})=16

(6) P({1,2}) =2n=4 and P({3}) =2n=2

P({1,2})×P({3})=4×2=8

(10)

P({1,2,3})=23=8

(14) |P(P(A))|= 4

P(A)= 21=2

P(P(A)) = 22=4

(18) P(B) = 21= 2

A× P(B) = 1 × 2 = 2

P(A×P(B))= 22= 4