under the corresponding scenarios in the cross$-$tabulation below.

No Replacement Allowed

Replacement Allowed

Distinguish Orderings

Do not Distinguish Orderings

In each of the parts below, indicate the direction of the inequality. Justify your answer either with either an algebraic or an intuitive based argument $-2$ pts each

$($a$)$ Circie one: AsB or

Justification

A$>=$B

$($b$)$ Circle one: AsCor A$>=$C

Justification

$($c$)$ Circle one: C SD

Justification

C$>=$D

$($d$)$ Circle one: BsD

Justification

B$2$D

$($e$)$ Circle one $8$ sC

Justification

$82$C