Posted by Amy on Thursday, December 2, 2010 at 2:09pm.
On a flight with 138 passengers, each passenger had the choice of peanuts or pretzels for a snack and the coice of chicken or beef for dinner. The beverage service offered 12 beverages. A flight attendant later remarked that no 2 passengers had the same request. Is this possible if each passenger took one snack, one dinner, and one beverage? Is this possible if each passenger took no more than 1 selection from each category? Is this possible if the flight attendant, being a new recruit, offered the snack by asking, "peanuts, pretzels, or both?" and each passenger took no more than one dinner or beverage?

College math  Ann Hiro, Thursday, December 2, 2010 at 11:49pm
The first two questions seem the exact same, oddly; perhaps I'm misunderstanding, but going on the assumption that I'm not...
There are 48 different combinations of grub (12 x 2 x 2), so the first two are 'no'.
When the passengers could elect to take both snacks, this becomes 72 combinations (12 x 3 x 2), again 'no'.
Even if the passengers could elect to not take a snack, meal, or beverage, there still would not be enough combinations for everyone to have a unique order (13 x 3 x 3 = 117, < 138)

College math  Ann Hiro, Thursday, December 2, 2010 at 11:51pm
I knew I was missing something...
On the last bit, if passengers could take both of the snacks, AND elect to take nothing from any of the three categories, you get 156 combinations (13 x 4 x 3), so THAT would indeed work...
Answer This Question
Related Questions
 MATH HELP PLEASE!!  On a flight with 138 passengers, each passenger had the ...
 STATISTICS  Miss Dombo, a Ticketing Manager with an Airline flying ...
 math  An airline knows that, on average, the probability that a passenger will ...
 Math  An airline know that,on average the probability that a passenger will not...
 calculus  You own a small airplane that holds a maximum of 20 passengers. It ...
 math  If exactly 198 people sign up for a charter flight, Leisure World Travel ...
 math  If exactly 198 people sign up for a charter flight, Leisure World Travel ...
 Math  If exactly 198 people sign up for a charter flight, Leisure World Travel ...
 statistics  . As a part of their customerservice program, United Airlines ...
 Math  Ernesto makes a snack mix. For every cup of raisins he adds 2 cups of ...
More Related Questions