You can make:
1 combination containing 0 digits,
7 combinations containing 1 digits,
21 combinations containing 2 digits,
35 combinations containing 3 digits,
35 combinations containing 4 digits,
21 combinations containing 5 digits,
7 combinations containing 6 digits, and
1 combinations containing 7 digits.
That makes 2^7 = 128 in all.
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14 * * * * * Wrong! There are 15. 4 combinations of 1 number, 6 combinations of 2 number, 4 combinations of 3 numbers, and 1 combination of 4 numbers.
There is 1 combinations with 7 numbers in them,7 combinations with 1 or 6 numbers in them,21 combinations with 2 or 5 numbers in them,35 combinations with 3 or 4 numbers in them.Notionally, there is also one combination with no numbers in it.In all then, there are 128 ( = 27) combinations.There is 1 combinations with 7 numbers in them,7 combinations with 1 or 6 numbers in them,21 combinations with 2 or 5 numbers in them,35 combinations with 3 or 4 numbers in them.Notionally, there is also one combination with no numbers in it.In all then, there are 128 ( = 27) combinations.There is 1 combinations with 7 numbers in them,7 combinations with 1 or 6 numbers in them,21 combinations with 2 or 5 numbers in them,35 combinations with 3 or 4 numbers in them.Notionally, there is also one combination with no numbers in it.In all then, there are 128 ( = 27) combinations.There is 1 combinations with 7 numbers in them,7 combinations with 1 or 6 numbers in them,21 combinations with 2 or 5 numbers in them,35 combinations with 3 or 4 numbers in them.Notionally, there is also one combination with no numbers in it.In all then, there are 128 ( = 27) combinations.
The question, as stated, cannot be answered because there are only 26 = 64 combinations. The order of the numbers in a combination does make a difference so 134 is the same as 143 or 413 etc. There are 1 combinations each of 0 and 6 of the numbers, 6 combinations of 1 or 5 numbers, 15 combinations of 2 or 4 numbers, and 20 combinations of 3 numbers. The list includes the null combination - that is the combination consisting of none of the numbers.
35
∞ \ Infinite