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.

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Question 1144096: 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?
Found 3 solutions by josmiceli, Edwin McCravy, ikleyn:
Answer by josmiceli(19441)   (Show Source):
You can put this solution on YOUR website!
Use combinations when the order does not matter
C( 60, 4 ) =

C( 60, 4 ) =
C( 60, 4 ) =
C( 60, 4 ) =
C( 60, 4 ) =
487,635 possible
repetitions like 7777 are not allowed, I think, because this
is a collection of numbers to choose from.

Answer by Edwin McCravy(20054)   (Show Source):
You can put this solution on YOUR website!

Edwin

Answer by ikleyn(52747)   (Show Source):
You can put this solution on YOUR website!
.

This problem is on 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.

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.

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.