To help plan for next year, the grad committee polled 91 grade 11 students about their intentions for the next year. Of these students, 29 said that they would attend the grad formal, 43 said that they would attend the grad breakfast, and 29 said they would attend the grad trip. In addition, 19 people said that they would attend the grad formal and the grad breakfast, 12 said that they would attend the grad breakfast and the grad trip, and 17 said that they would attend the grad formal and the grad trip. Finally, 10 students said that they would not attend any of the events. Determine the number of students who said that they would attend all three events. Show all your work.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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# 2. To help plan for next year, the grad committee polled 91 grade 11 students about their
intentions for the next year. Of these students, 29 said that they would attend the grad
formal, 43 said that they would attend the grad breakfast, and 29 said they would attend the
grad trip. In addition, 19 people said that they would attend the grad formal and the grad
breakfast, 12 said that they would attend the grad breakfast and the grad trip, and 17 said
that they would attend the grad formal and the grad trip. Finally, 10 students said that they
would not attend any of the events.
Determine the number of students who said that they would attend all three events. Show
all your work.
Transcribed Image Text:# 2. To help plan for next year, the grad committee polled 91 grade 11 students about their intentions for the next year. Of these students, 29 said that they would attend the grad formal, 43 said that they would attend the grad breakfast, and 29 said they would attend the grad trip. In addition, 19 people said that they would attend the grad formal and the grad breakfast, 12 said that they would attend the grad breakfast and the grad trip, and 17 said that they would attend the grad formal and the grad trip. Finally, 10 students said that they would not attend any of the events. Determine the number of students who said that they would attend all three events. Show all your work.
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