Required information

NOTE: This is a multi$-$part question. Once an answer is submitted, you will be unable to return to this part. Consider the statement that min$(a,$min$(b,c))=$min$(min(a,b),c)$ whenever $a,b,$ and $c$ are real numbers.

Identify the set of cases that are required to prove the given statement using proof by cases.

$($You must provide an answer before moving to the next part.$)$

Multiple Choice

$abc,cab,bac,acb,bca,cba$

$4$

$abc,cab,bac,acb,bca,cba$

$abc,acb,bac,bca,cab,cba$