Combinations and Permutations Generator for 3-digit Lottery Games

Combinations of 3-digit 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 sub-groups of n elements. For example, the string 'bye' has 3 elements (that is N=3). If we want to group the three elements into sub-groups of 2 elements, then n will be 2. The resulting sub-groups 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 3-digit games, combinations are very useful in order to list all the possible 3-digit 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 sub-groups of 3 elements - like 024, 046, 268, etc. You can generate the 3-digit combinations of any number using our 3-digit combinations generator supplied further below.

Permutation of 3-digit 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 two-element string "NO", there are two possible permutations, namely, 'NO' and 'ON'. A 3-digit 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 3-digit 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 3-digit permutations of any number using our 3-digit permutations generator supplied further below. However, if your state lottery has a combo play type of the 3-digit 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 3-digit games, you may not need to use the permutations generator.

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3-digit Combinations Generator

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3-digit Permutations Generator

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All the 3-digit 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 3-digit numbers there are, and what are all the possible 3-digit numbers?"

There are 1000 possible 3-digit 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.