Ebon will be inviting 50 friends, and they will be reaching the island on Ebon's huge private yacht. The party will take place on the weekend, but the friends can travel on the yacht to the island either on the Tuesday, Wednesday, Thursday, or Friday before the weekend. Each friend will choose the travel day that is most convenient for them. a) What is the largest number of people that are guaranteed to arrive the same day? b) How many different distributions of people by arrival date are there? for example one distribution might be 12 people on Tuesday, 8 on Wednesday, 23 on Thursday, and 7 on Friday. Explain your answers. Time
Ebon will be inviting 50 friends, and they will be reaching the island on Ebon's huge private yacht. The party will take place on the weekend, but the friends can travel on the yacht to the island either on the Tuesday, Wednesday, Thursday, or Friday before the weekend. Each friend will choose the travel day that is most convenient for them. a) What is the largest number of people that are guaranteed to arrive the same day? b) How many different distributions of people by arrival date are there? for example one distribution might be 12 people on Tuesday, 8 on Wednesday, 23 on Thursday, and 7 on Friday. Explain your answers. Time
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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Transcribed Image Text:Q1
Ebon will be inviting 50 friends, and they
will be reaching the island on Ebon's huge
private yacht. The party will take place on
the weekend, but the friends can travel on
the yacht to the island either on the
Tuesday, Wednesday, Thursday, or Friday
before the weekend. Each friend will
choose the travel day that is most
convenient for them.
a) What is the largest number of people
that are guaranteed to arrive the same
day?
b) How many different distributions of
people by arrival date are there? for
example one distribution might be 12
people on Tuesday, 8 on Wednesday, 23
on Thursday, and 7 on Friday.
Explain your answers.
Time
1
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