SOLUTION: To win at LOTTO in one​ state, one must correctly select 4 numbers from a collection of 60 numbers​ (1 through ​60). The order in which the selection is made does not matter.

Algebra ->  Permutations -> SOLUTION: To win at LOTTO in one​ state, one must correctly select 4 numbers from a collection of 60 numbers​ (1 through ​60). The order in which the selection is made does not matter.      Log On


   



Question 1168048: To win at LOTTO in one​ state, one must correctly select 4 numbers from a collection of 60 numbers​ (1 through ​60). The order in which the selection is made does not matter. How many different selections are​ possible?
Answer by ikleyn(52748) About Me  (Show Source):
You can put this solution on YOUR website!
.

The total number of different selections of this kind

is equal to the number of COMBINATIONS of 60 items taken 4 at a time


    C%5B60%5D%5E4 = %2860%2A59%2A58%2A57%29%2F%281%2A2%2A3%2A4%29 = 487635.    ANSWER

Solved.

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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.