Just the one. The order of the numbers does not matter in a combination so that 123456 is the same combination as 245136.
The answer is 10C4 = 10!/[4!*6!] = 210
If there are no restrictions on duplicated numbers or other patterns of numbers then there are 10 ways of selecting the first digit and also 10 ways of selecting the second digit. The number of combinations is therefore 10 x 10 = 100.
45.
5
Each digit can appear in each of the 4 positions. There are 9 digits, therefore there are 9⁴ = 6561 such combinations.
Number of 7 digit combinations out of the 10 one-digit numbers = 120.
The answer will depend on how many digits there are in each of the 30 numbers. If the 30 numbers are all 6-digit numbers then the answer is NONE! If the 30 numbers are the first 30 counting numbers then there are 126 combinations of five 1-digit numbers, 1764 combinations of three 1-digit numbers and one 2-digit number, and 1710 combinations of one 1-digit number and two 2-digit numbers. That makes a total of 3600 5-digit combinations.
15
10,000
6 ways: 931,913,139,193,391,319
It is: 9C7 = 36
120 combinations using each digit once per combination. There are 625 combinations if you can repeat the digits.
10 Combinations (if order doesn't matter). 3,628,800 Possiblilities (if order matters).
The answer is 10C4 = 10!/[4!*6!] = 210
There are 840 4-digit combinations without repeating any digit in the combinations.
Only three: 12, 13 and 23. Remember that the combinations 12 and 21 are the same.
If there are no restrictions on duplicated numbers or other patterns of numbers then there are 10 ways of selecting the first digit and also 10 ways of selecting the second digit. The number of combinations is therefore 10 x 10 = 100.