Annie goes to a sushi place to order dinner for all of his friends. Exhausted by the prospect of ordering so many individual rolls, she lets the employees decide what to make. After an hour, they present her with a table of sushi. They inform her that there are 237 total rolls. Each roll has at least one kind of protein: salmon, tuna, or shrimp. There are 120 rolls with salmon, 110 with tuna, and 114 with shrimp. The cashier tells Annie that 24 of the rolls have salmon and shrimp, 18 have tuna and shrimp, and 5 have all three proteins. (a) How many sushi rolls have both salmon and tuna? (b) 40 of the friends dislike salmon and shrimp and will refuse to eat sushi rolls containing either. Will there be enough rolls containing only tuna to feed the friends?
Annie goes to a sushi place to order dinner for all of his friends. Exhausted by the prospect of ordering so many individual rolls, she lets the employees decide what to make. After an hour, they present her with a table of sushi. They inform her that there are 237 total rolls. Each roll has at least one kind of protein: salmon, tuna, or shrimp. There are 120 rolls with salmon, 110 with tuna, and 114 with shrimp. The cashier tells Annie that 24 of the rolls have salmon and shrimp, 18 have tuna and shrimp, and 5 have all three proteins. (a) How many sushi rolls have both salmon and tuna? (b) 40 of the friends dislike salmon and shrimp and will refuse to eat sushi rolls containing either. Will there be enough rolls containing only tuna to feed the friends?
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:1. Annie goes to a sushi place to order dinner for all of his friends. Exhausted by
the prospect of ordering so many individual rolls, she lets the employees decide what to make.
After an hour, they present her with a table of sushi. They inform her that there are 237 total
rolls. Each roll has at least one kind of protein: salmon, tuna, or shrimp. There are 120 rolls
with salmon, 110 with tuna, and 114 with shrimp. The cashier tells Annie that 24 of the rolls
have salmon and shrimp, 18 have tuna and shrimp, and 5 have all three proteins.
(a) How many sushi rolls have both salmon and tuna?
(b) 40 of the friends dislike salmon and shrimp and will refuse to eat sushi rolls containing
either. Will there be enough rolls containing only tuna to feed the friends?
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