SOLUTION: There are 12 applicants for financial aid. The Seabest Scholarship allows four students to receive the money. How many different ways can these scholarships be awarded?

Algebra ->  Probability-and-statistics -> SOLUTION: There are 12 applicants for financial aid. The Seabest Scholarship allows four students to receive the money. How many different ways can these scholarships be awarded?      Log On


   

Question 1157316: There are 12 applicants for financial aid. The Seabest Scholarship allows four students to receive the money. How many different ways can these scholarships be awarded?
Answer by ikleyn(52765) About Me  (Show Source):
You can put this solution on YOUR website!
.

4 items (apples, applicants, peaches, nails, students etc.) can be selected from 12 items by  


    C%5B12%5D%5E4 ways = %2812%2A11%2A10%2A9%29%2F%281%2A2%2A3%2A4%29 ways = 495 ways.    ANSWER

Solved.

C%5Bn%5D%5Ek is the number of combinations of n items taken k at a time.

------------------

On Combinations,  see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on 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.