SOLUTION: Out of a group of 25 students, 7 walk to school, 12 catch a train and 6 catch a bus. If 6 students are selected, find the number of combinations if 3 walk to school and 1 catc

Algebra ->  Permutations -> SOLUTION: Out of a group of 25 students, 7 walk to school, 12 catch a train and 6 catch a bus. If 6 students are selected, find the number of combinations if 3 walk to school and 1 catc      Log On


   



Question 1120103: Out of a group of 25 students,
7 walk to school, 12 catch a train
and 6 catch a bus. If 6 students
are selected, find the number of
combinations if 3 walk to school and
1 catches a bus.

Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
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The number of groups of 6 students, containing 3 walking and 1 catching a bus is

    C%5B7%5D%5E3%2AC%5B6%5D%5E1%2AC%5B12%5D%5E2.


To get this number (and this solution), you must select 3 of 7; then select 1 of 6; and finally add to them 2 selected of 12.

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On Combinations,  see the 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.