Combinations and Permutations Generator of 4-digit Lottery Games

Combinations of 4-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 4-digit games, combinations are very useful in order to list all the possible 4-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 4 elements - like 0246, 0468, 2468, etc. You can generate the 4-digit combinations of any number using our 4-digit combinations generator supplied further below.

Permutation of 4-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 4-digit number has obviously 4 elements and will result in 24, 12, 6, 4, or 1 possible permutations depending on whether the elements are repeated or not. So, permutation is simply the possible rearrangements of the elements.

A 4-digit number with no repeating digit has 24 possible permutations. For example, the permutations of the number "1234" are { 1234, 1243, 1423, 4123, 1324, 1342, 1432, 4132, 3124, 3142, 3412, 4312, 2134, 2143, 2413, 4213, 2314, 2341, 2431, 4231, 3214, 3241, 3421, 4321 }. If one of the digits is repeated, then the number of possible permutations becomes 12. For example, the permutations of the number "0012" are { 0012, 0021, 0201, 2001, 0102, 0120, 0210, 2010, 1002, 1020, 1200, 2100 }. If two of the digits are repeated, then the number of possible permutations becomes 6. For example, the permutations of the number "0011" are { 0011, 0101, 1001, 0110, 1010, 1100 }. If one of the digits is tripled, then the number of possible permutations becomes 4. For example, the permutations of the number "0001" are { 0001, 0010, 0100, 1000 }. If all the four digits are identical, then there is only one possible permutation.

You can generate the 4-digit permutations of any number using our 4-digit permutations generator supplied further below. However, if your state lottery has a combo play type of the 4-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 Staright. Unlike 3-digit games, some US 4-digit games, do not have a combo play, therefore the permutations generator might be handy.

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4-digit Combinations Generator

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4-digit Permutations Generator

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