Homework Help: Finite Math

Posted by Sam on Wednesday, October 22, 2008 at 12:54am.

A travel writer is on a cruise. After the cruise, he is going to write
a magazine article evaluating the quality of the cruise, including
the food. (For instance, "On the first night, I had the shark steak
Florentine ... which was superb.") The dinner menu, which
is the same every evening, has 8 fish entrees and 9 non-fish
entrees (e.g., beef, pork, etc.). Each night the writer
selects a different entree and records the selection in his
notebook. The cruise will last 6 nights, so there will be 6 dinnner
entrees recorded.

How many overall outcomes are possible?

In how many possible overall outcomes would fish entrees appear
exactly 4 times?

In how many possible overall outcomes would fish entrees appear at most
4 times?

In how many possible overall outcomes would fish entrees appear at least
1 time?

Finite Math - Reiny, Wednesday, October 22, 2008 at 8:49am
How many overall outcomes are possible? -- C(17,6) = 12376

In how many possible overall outcomes would fish entrees appear exactly 4 times?
C(8,4)xC(9,2) = 2520

In how many possible overall outcomes would fish entrees appear at least 1 time?

we must exclude the no of cases of no-fish, which would be C(9,6) or 84

so no of cases with at least 1 fish dinner is 12376-84 = 12292

Answer this Question

Related Questions

math - The owner of a luxury motor yacht that sails among the 4000 Greek islands...
math - The owner of a luxury motor yacht that sails among the 4000 Greek islands...
math - The owner of a luxury motor yacht that sails among the 4000 Greek islands...
math - The owner of a luxury motor yacht that sails among the 4000 Greek islands...
Math - The owner of a luxury motor yacht that sails among the 4000 Greek islands...
Math - Rainbow Harbor Cruises charges $16/adult and $8/child for a round-trip ...
Math - Rainbow Harbor Cruises charges $16/adult and $8/child for a round-trip ...
math - rainbow Harbor Cruises charges $16/adult and $8/child for a round trip ...
math - Last month, Bob took a cruise from Florida to the Bahamas. The cost of ...
Math - This week, the Laketown Cruise Company took its boat on 19 cruises, ...

For Further Reading

First Name:
School Subject:
Answer: