SOLUTION: Problem Page A catering service offers 8 appetizers, 12 main courses, and 11 desserts. A customer is to select 3 appetizers, 7 main courses, and 3 desserts for a banquet. In how

Algebra ->  Permutations -> SOLUTION: Problem Page A catering service offers 8 appetizers, 12 main courses, and 11 desserts. A customer is to select 3 appetizers, 7 main courses, and 3 desserts for a banquet. In how       Log On


   

Question 1144788: Problem Page
A catering service offers 8 appetizers, 12 main courses, and 11 desserts. A customer is to select 3 appetizers, 7 main courses, and 3 desserts for a banquet. In how many ways can this be done?
Answer by ikleyn(52780) About Me  (Show Source):
You can put this solution on YOUR website!
.

In 3 * 7 * 3 = 63 ways.

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Comment from student: Thank you so much. I am atruggling statistics and need so much help. I just dont get this stuff at all


My response : Is this comment came from you ? 

    Unfortunately, this forum works in such a way, that I can not identify comments with problems --  therefore I am asking.

But if this comment is from you, then I can help.

In this site, there are TWO HUGE BLOCKS of lessons.

The first block is on Combinations and Permutations
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems on Permutations
    - Math circle level problem on Permutations
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - Arranging elements of sets containing indistinguishable elements
    - Persons sitting around a cicular table
    - Combinatoric problems for entities other than permutations and combinations
    - Miscellaneous problems on permutations, combinations and other combinatoric entities
    - In how many ways N distinguishable objects can be distributed among n different boxes ?
    - OVERVIEW of lessons on Permutations and Combinations

A convenient place to quickly observe these lessons from a  "bird flight height"  (a top view)  is the last lesson in the list.

The second block of lessons is on Elementary Probability
    - Simple and simplest probability problems
    - Solving probability problems using complementary probability
    - Elementary Probability problems related to combinations
    - A True/False test
    - A multiple choice answers test
    - Coinciding birthdays
    - A shipment containing fair and defective alarm clocks
    - People in a room write down integer numbers at random
    - A drawer contains a mixture of socks
    - Students studying foreign languages
    - Probability for a computer to be damaged by viruses
    - Conditional probability problems
    - Typical probability problems from the archive
    - Geometric probability problems
    - Advanced probability problems from the archive
    - Challenging probability problems
    - Selected probability problems from the archive
    - Experimental probability problems
    - Rolling a pair of fair dice
    - Ten pairs of shoes are kept in a rack
    - A diplomat and spies
    - Elementary operations on sets help solving Probability problems
    - Unusual probability problems
    - OVERVIEW of lessons on Probability

Again, a convenient place to quickly observe these lessons from a  "bird flight height"  (a top view)  is the last lesson in the list.

Try to read it. Do not try to read everything in a row.
Select what is more interesting to you.

Do not struggle on difficult spots -- you can return to them later.

It is INTERESTING reading, and I hope you will fall in love in it.


Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under two topics

    - Combinatorics: Combinations and permutations, and
    - Solved problems on Probability.


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.

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You are a happy person ---- the entire treasure suddenly fell at your legs . . .