SOLUTION: The Saturday Night Jazz Band asked the music department of the community college to furnish a group of 5 trumpet players or a group of 4 saxophone players for prom weekend. The mus

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Question 1149502: The Saturday Night Jazz Band asked the music department of the community college to furnish a group of 5 trumpet players or a group of 4 saxophone players for prom weekend. The music department has 9 trumpet players and 12 saxophone players available. How many ways can the request be filled?

Found 2 solutions by ikleyn, greenestamps:
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.

In  C%5B9%5D%5E5 + C%5B12%5D%5E4 ways.

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It is about COMBINATIONS.

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.


Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The request can be filled with EITHER

5 of the 9 trumpet players: C(9,5) = 126

OR

4 of the 12 saxophone players: C(12,4) = 495

ANSWER: 126+495 = 621