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278 faculty members were surveyed regarding plans for upcoming weekend. The results are:
135 plan to grade papers. 118 plan to attend the football game. 110 plan to do household chores. 29 plan to grade papers and attend the football game. 64 plan to grade papers and do household chores. 37 plan to attend the football game and do household chores. 13 plan to grade papers, attend the game, and do chores.
1. how many planned to only grade papers?
2. How many planned to grade papers or do household chores?
3. How many did not plan to do any of these activities?
4. how many planned to do at least 2 of these activities?
5. how many planned to attend the football game and do chores, but did not grade?
6. How many planned to attend the game or grade papers, but did not plan to do household chores?
7. How many planned to do at most one of these activities?
8. How many didn't do anything?

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