The Math Department has $6$ committees that meet once a month. How many different meeting times must be used to guarantee that no one is scheduled to be at $2$ meetings at the same time, if committees and their members are: C$\_1=\{$VanDerLinden$,$ Phillips, Petersdinh$\},$ C$\_2=\{$Phillips$,$ Torres$-$Garcia, Fleming$\},$ C$\_3=\{$VanDerLinden$,$ Petersdinh, Fleming$\},$ C$\_4=\{$Torres$-$Garcia, Petersdinh, Fleming$\},$ C$\_5=\{$VanDerLinden$,$ Phillips$\},$ C$\_6=\{$Phillips$,$ Petersdinh, Fleming$\}$