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Relations and Functions — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsRelations and Functions1 Mark
MCQ
If $P \times Q$ 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 $n(Q) = 5$
  • ✓
    $n(P) = 5$ and $n(Q) = 4$
✓

Answer

Correct option: D.
$n(P) = 5$ and $n(Q) = 4$
If set $P$ has m elements and set $Q$ has $n$ elements then $P \times Q$ has $m \times n$ elements.
$m \times n = 10$
$\Rightarrow$ 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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