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If P X Q has 10 elements then which is not possible?(a) n(P)=1 and n(Q)=10(b) n(P)=10 and n(Q)=1(c) n(P)=2 and n(Q)=5(d) n(P)=5 and n(Q)=4I got this question during an internship interview.I would like to ask this question from Cartesian Product of Sets in chapter Relations and Functions of Mathematics – Class 11

Answer»

The correct choice is (d) N(P)=5 and n(Q)=4

Easiest explanation: If SET P has m elements and set Q has n elements then P X Q has m*n elements.

m*n=10 => if m=1 then n=10,

if m=2 then n=5,

if m=5 then n=2 and if m=10 then n=1.



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