SOLUTION: Fifteen people showed up to the Math Lab on Monday night. I want to give prizes to three of those students. a. How many ways can I choose three people to receive an A on their

Question 1113558: Fifteen people showed up to the Math Lab on Monday night. I want to give prizes to three of those students.
a. How many ways can I choose three people to receive an A on their final?

b. How many ways can three people be picked where the first person gets an A on the final, the second person gets 10 extra credit points and the third gets a free calculator?

c. How many ways can three people be chosen so that the first two people get an A on the final and the third gets extra credit.

Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.

a.  In this case the order does not matter in the groups of three students, so the answer is the number of combinations   = .



b.  In this case the order does matter in the groups of three students, so the answer is the number of permutations  3P15 = 15*14*13.



c.  .

--------------
On Combinations and Permutations see the lessons
    - Introduction to Permutations
    - PROOF of the formula on the number of Permutations
    - Problems 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
    - OVERVIEW of lessons on Permutations and Combinations
in this site.

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 the topic "Combinatorics: Combinations and permutations".

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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