Fsc Part 1 Mathematics (Complete Solution)

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Q3

Which of the following sets are finite and which of these are infinite?

**(i) The set of students of your class.**

Ans: Finite

**(ii) the set of all schools in Pakistan.**

Ans:Finite

**(iii) The set of natural numbers between 3 and 10.**

Ans:Finite

**(iv) The set of rational numbers between 3 and 10.**

Ans: Infinite

**(v) The set of real numbers between 0 and 1.**

Ans: Infinite

**(vi) The set rationales between 0 and 1**

Ans: Infinite

**(vii) The set of whole numbers between 0 and 1**

Ans:Finite

**(viii) The set of all leaves of trees in Pakistan.**

Ans:Finite

**(ix) P(N)**

Ans: Infinite

**(x) P{a,b,c}**

Ans:Finite

**(xi) {1,2,3,4,...}**

Ans: Infinite

**(xii) {1,2,3,......,100000000}**

Ans:Finite

**(xiii) {xlx∈ℝ∧x≠x}**

Ans:Finite

**(xiv) {xlx∈ℝ∧x ^{2}=-16}**

Ans:Finite

**(xv) {xlx∈Q∧x ^{2}=5}**

Ans:Finite

**(xvi) {xlx∈Q∧0≤x≤1}**

Ans: Infinite