Fsc Part 1 Mathematics (Complete Solution)

Q8
What is the number of elements of the power set of each of the following sets?

(i) {  }

Ans:Since  the set {  } has zero elements, so its power set will have 20=1 elements.

(ii) {0,1}

Ans:Since  the set {0,1 } has two elements, so its power set will have 22=4 elements.

(iii) {1,2,3,4,5,6,7}

Ans:Since  the set {1,2,3,4,5,6,7 } has seven elements, so its power set will have 27=128 elements.

(iv) {0,1,2,3,4,5,6,7}

Ans:Since  the set {0,1,2,3,4,5,6,7 } has seven elements, so its power set will have 28=256 elements.

(v) {a, {b,c} }

Ans:Since the set {a,{b,c}} has two elements, so its power set will have 22=4 elements.

(vi) { {a,b},{b,c,},{d,e} }

Ans:Since the set { {a,b},{b,c,},{d,e} } has three elements, so its power set will have 23=8elements.

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