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.
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