question_answer

If \[P\bigcap Q=Q\]and \[P\bigcap Q=P\] then which among the following cannot be true?

A)  \[P=\left\{ \text{1, }2,\text{ }3 \right\}\]and\[Q=\left\{ 1,\text{ }2,\text{ }3,\text{ }4,\text{ }5 \right\}\]

B)  \[P=\left\{ a,\text{ }b \right\}\]and \[Q=\left\{ a,\text{ }b,\text{ }c \right\}\]

C)  \[P=\left\{ s \right\}\]and \[Q=\left\{ m,\text{ }n,\text{ }s \right\}\]

D)  \[P=\left\{ I,\text{ }m,\text{ }n \right\}\]and \[Q=\left\{ I,\text{ }m,\text{ }1,\text{ }2,\text{ }3 \right\}\]

E)  None of these