The principal of a school wants to allocate 3 teachers to 3 classes. The following bipartite graph shows all possible allocations of the teachers.
If each teacher can only take one class, which of the following allocations are possible? Select all the correct options.
Teacher | Class |
$T_1$T1 | $C_1$C1 |
$T_2$T2 | $C_2$C2 |
$T_3$T3 | $C_3$C3 |
Teacher | Class |
$T_1$T1 | $C_2$C2 |
$T_2$T2 | $C_1$C1 |
$T_3$T3 | $C_3$C3 |
Teacher | Class |
$T_1$T1 | $C_3$C3 |
$T_2$T2 | $C_2$C2 |
$T_3$T3 | $C_1$C1 |
Teacher | Class |
$T_1$T1 | $C_1$C1 |
$T_2$T2 | $C_3$C3 |
$T_3$T3 | $C_2$C2 |
Consider the following bipartite graph.
Consider the following bipartite graph.
Which of the following bipartite graphs represent the given reduced table?