College math

posted by .

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 -

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 -

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...

Similar Questions

1. MATH HELP PLEASE!!

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 …
2. statistics

. As a part of their customer-service program, United Airlines wanted to select 10 passengers from today's 9 A.M. Chicago-Tampa flight to be interviewed regarding airport facilities, service, and amenities in the waiting area. Each …
3. Math

If exactly 198 people sign up for a charter flight, Leisure World Travel Agency charges \$308/person. However, if more than 198 people sign up for the flight (assume this is the case), then each fare is reduced by \$1 for each additional …
4. math

If exactly 198 people sign up for a charter flight, Leisure World Travel Agency charges \$308/person. However, if more than 198 people sign up for the flight (assume this is the case), then each fare is reduced by \$1 for each additional …
5. math

If exactly 198 people sign up for a charter flight, Leisure World Travel Agency charges \$308/person. However, if more than 198 people sign up for the flight (assume this is the case), then each fare is reduced by \$1 for each additional …
6. Math

An airline know that,on average the probability that a passenger will not show up for a flight is 6%.If an airplane is fully booked and holds 300 passengers,how many seats are expected to be empty?
7. math

An airline knows that, on average, the probability that a passenger will not show up for a flight is 6%. If an airplane is fully booked and holds 300 passengers, how many seats are expected to be empty?
8. calculus

You own a small airplane that holds a maximum of 20 passengers. It costs you \$100 per flight from St. Thomas to St. Croix for gas and wages plus an additional \$6 per passenger for the extra gas required by the extra weight. The charge …
9. STATISTICS

Miss Dombo, a Ticketing Manager with an Airline flying international routes, has realised that not all passengers show up for their reserved seat. It is clear to her that each passengerâ€™s behaviour is independent of the other. Having …
10. Math

A local club is arranging a charter flight to Miami. The cost of the trip is \$225.00 each for 75 passengers, with a refund of \$5.00 per passenger for each passenger in excess of 75. How many passengers must take the flight to produce …

More Similar Questions