$2\mathrm{.}15$ Consider the sample space copper, sodium, nitrogen, potassium, uranium, oxygen, zinc$\},$ and the events

$A=\{$ copper, sodium, zinc $\}$

$B=\{$ sodium, nitrogen, potassium $\}$

$C=\{$ oxygen $\}$

List the elements of the sets cprresponding to the following events:

$($a$)A^{\text{'}}$;

$($b$)AC$

$($c$)(A{B}^{\text{'}})C^{\text{'}}$

$($d$)B^{\text{'}}{C}^{\text{'}}$

$($e$)ABC$

$($f$)(A^{\text{'}}{B}^{\text{'}})(A^{\text{'}}C).$