For each of the following cases, indicate $($a$)$ what interest rate columns and $($b$)$ what number of periods you would refer to in looking up the present value factor.

$(1)$ In Table $3($present value of $1)$:

$\backslash$table$[[,$Annual Rate,$\backslash$table$[[$Number of$],[$Years Involved$]],\backslash$table$[[$Discounts$],[$per Year$]]],[$Case A$,12\%,7,$Annually$],[$Case B$,8\%,11,$Semiannually$],[$Case C$,10\%,8,$Semiannually$],[($c$),,($b$)],[$Case A$,,\%,],[$Case B$,,\%,],[$Case C$,,\%,]]$

$(2)$ In Table $4($present value of an annuity of $1)$:

$\backslash$table$[[,$Annual Rate,$\backslash$table$[[$Number of$],[$Years Involved$]],\backslash$table$[[$Number of$],[$Payments Involved$]],\backslash$table$[[$Frequency of$],[$Payments$]]],[$Case A$,10\%,20,20,$Annually$],[$Case B$,10\%,7,7,$Annually$],[$Case C$,6\%,5,10,$Semiannually$]]$