MCQ
If P × 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) = 4

Answer

  1. n(P) = 5 and n(Q) = 4

Solution:

If set P has m elements and set Q has n elements then P × 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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