-- If you're allowed to repeat digits in one combination,
then there are 104 = 10,000 possibilities.
-- If all four of the digits must be different, then there are
(10 x 9 x 8 x 7) = 5,040 possibilities.
66
5,040
There are 9C3 = 84 combinations.
In other words, how many 4 digit combination locks are there using the digits 0-9 on each wheel. There are 10×10×10×10 = 10⁴ = 10,000 such combinations.
There are 210 4 digit combinations and 5040 different 4 digit codes.
Exactly 3,628,800, or 10!.
66
10!/3! = 604800 different combinations.
5,040
9
There are 1,120,529,256 combinations.
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.
There are 9C3 = 84 combinations.
There are 4,500 combinations.
1,000. The list looks just like the counting numbers from 000 to 999 .
That's exactly all the numbers you need to count from 000,000,000 to 999,999,999.There are one billion of them.
There are 5*4*3*2 = 120 such numbers.