Combinations and Permutations Generator for 3digit Lottery Games
The manipulation of 3digit games with regard to their various arrangements and groupings is
performed by two mathematical tools called permutations and combinations. Here we will describe
these two tools as applied to 3digit games and will present JavaScript programs to generate permutations
and combinations of any numbers that you enter.

On this page...

Combinations of 3digit Games
The combinations of a number, a string, or any other set of objects with N elements is the possible grouping of the
N elements into subgroups of n elements. For example, the string 'bye' has 3 elements (that is N=3). If we want
to group the three elements into subgroups of 2 elements, then n will be 2. The resulting subgroups will be {'be', 'by', 'ye'}.
Certainly, the arrangements of the elements doesn't matter here; so, they might as well be {'eb', 'yb', 'ey'}.
In 3digit games, combinations are very useful in order to list all the possible 3digit numbers from numbers that
have 2 or more digits. For example, if you may wish to play all even digits, then you'll have to
group the five elements 02468 into subgroups of 3 elements  like 024, 046, 268, etc. You can generate the 3digit
combinations of any number using our 3digit combinations generator supplied further below.
Permutation of 3digit Games
The permutations of a number, a string, or any other set of objects with N elements (or members)
is the possible arrangements of its N elements. For example, if you consider the twoelement string "NO",
there are two possible permutations, namely, 'NO' and 'ON'. A 3digit number has obviously 3 elements and will result
in 6, 3, or 1 possible permutations depending on whether the elements are repeated or not. So, permutation is
simply the possible rearrangements of the elements.
A 3digit number with no repeating digit has 6 possible permutations. For example, the permutations of the number "123" are
{ 123,132,312,213,231,321 }. If one of the digits is repeated, then the number of possible permutations
becomes 3. For example, the permutations of the number "001" are { 001,010,100 }. If all the three digits are
identical, then there is only one possible permutation.
You can generate the 3digit permutations of any number using our 3digit permutations generator supplied further below.
However, if your state lottery has a combo play type of the 3digit game, then you do not need
to generate any permutations. Note that the combo play type may be known by a different name
in your state; it may be called Combination, Wheel Bet, Wheeled Play, Super Straight.
Therefore, for US 3digit games, you may not need to use the permutations generator.
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3digit Combinations Generator
To use this combinations generator, first enter a number with
2 or more digits. Then mark one or more of the three types of combinations (nonrepeating digits,
onerepeating, and triples) you want to generate. Finally press the 'Generate' button. The generated
numbers will be listed in the box on the right. Note that if you enter 2 digits, there will be no nonrepeating digit combinations.
Interestingly, although you can find the list of
all the possible combinations of 3digit game numbers on another page of this site, you can also
generate them here by entering 0123456789 and marking all the three options.


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3digit Permutations Generator

To use this permutation generator, just enter a three digit number and click on the 'Generate' button.
The generated numbers will be listed in the box on the right.
Note that the permutations of numbers are necessary only for those 3digit games that do not
offer a combination (combo) type of play.



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All the 3digit numbers
Finally, we have to add this section which we initially thought was trivial. In fact, amazingly many people ask
the question "How many possible 3digit numbers there are, and what are all the possible 3digit numbers?"
There are 1000 possible 3digit numbers and they are: 000, 001, 002, 003, 004, ... , 999. That is, just start from 0 and count
up to 999. If you want the full list of all these numbers, you can find a number generator here.
Related pages:
• US 3digit lottery games
• How to play 3digit games
• Grouping and odds of 3digit numbers
• Sum of 3digit numbers

