Students in a film class have volunteered to form groups and create several short films. The class has three digital video cameras that may be checked out for one day only, and it is expected that each group will need the entire day to finish shooting. All members of each group must participate in the film they volunteered for, so a student cannot work on more than one film on any given day. Film 1 will be made by Renz, Anika, and Ryan. Film 2 will be made by Ynah, Sophia, and Renz. Film 3 will be made by KC, Renz, and Sophia. Film 4 will be made by Joyce, Jasmine, and Abby. Film 5 will be made by Jasmine, Ryan, and Ynah. Film 6 will be made by Anika, KC, and Abby. Use graph coloring to design a schedule for lending the cameras, using the smallest possible number of days, so that each group can shoot its film and all members can participate.
4. Students in a film class have volunteered to form groups and create several short films. The class has three digital video cameras that may be checked out for one day only, and it is expected that each group will need the entire day to finish shooting. All members of each group must participate in the film they volunteered for, so a student cannot work on more than one film on any given day. Film 1 will be made by Renz, Anika, and Ryan. Film 2 will be made by Ynah, Sophia, and Renz. Film 3 will be made by KC, Renz, and Sophia. Film 4 will be made by Joyce, Jasmine, and Abby. Film 5 will be made by Jasmine, Ryan, and Ynah. Film 6 will be made by Anika, KC, and Abby. Use graph coloring to design a schedule for lending the cameras, using the smallest possible number of days, so that each group can shoot its film and all members can participate.
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