Let $A$ be the following set. $A=\{1,2,3,4,a,b,c\}.$ Mark each of the following true $T$ or false $F.$

$\{\{1,3,a\},\{2,4,5,b\},\{c\}\}$ is a partition of $A$

$\{\{1,3,a\},\{2,4,b\},\{a,b,c\}\}$ is a partition of $A$

$\{\{\},\{1,3,a\},\{2,4,c,b\}\}$ is a partition of $A$

$\{\{1,2\},\{3,4\},\{a,b,c\}\}$ is a partition of $A$

$\{\{1,3\},\{2,4,b\},\{c\}\}$ is a partition of $A$

$\{\{1,3,a,2,4,c,b\}\}$ is a partition of $A$