If you have to find all the variations in the form of
0000
0001
0010
0100
1000
1001
...
...
9997
9998
9999
3332, 3323, 3233 and 2333 are made of the same numbers but are different and you have to count all four, that's why we are going to use variations - the order matters!
You can also see that repetitions are included. If you look it up, the formula needed in such case is nr where n is the number of elements (10) and r is the order of the sequence (4)
V = 104 = 10 000
But if you are looking for combinations the order doesn't matter, though you still have to include repetition
You use the binomial symbol Binomial[n+r-1,r] = (n+r-1)!/(r!*(n-1)!)
C = 13!/(4!*9!) = 13*12*11*10*9!/(4*3*2*9!) = 13*11*5 =715
Still a lot, though :D
Oh, isn't that just lovely? You can create so many beautiful combinations using the numbers 1 through 9. Just think of all the possibilities waiting to be discovered! Keep exploring and let your imagination run wild with all the different combinations you can come up with.
If you count 0000 to 9999 you have 10,000. For whole numbers you have 9999. * * * * * Not sure about "whole" numbers. There are 10,000 in all, of which 9000 (from 1000 to 9999) do not have leading 0s.
0000-9999 (10x10x10x10 or 104) = 10,000 possible combinations allowing for repeated digits. If you are not able to repeat digits then it's 10 x 9 x 8 x 7 or 5,040 possible combinations without repeated digits.
In base ten, there are 9000 four digit number, the numbers are from 1000 to 9999. If you allow leading zeros, then there are 10000 numbers. [0000 - 9999]
Well, honey, if you want to know the number of 4-digit combinations with no repeated numbers, it's pretty simple. You start with 9 choices for the first digit (can't be 0), then 9 choices for the second digit (can't repeat the first), 8 choices for the third digit, and finally 7 choices for the fourth digit. Multiply those together and you get 4536 possible combinations. Easy peasy lemon squeezy!
10,000. from 0000 to 9999.
10000 ; This may look to be wrong but you can have 0001 to 9999 which gives you 9999 different combinations of 4 digits, plus another one for 0000.
Passwords are technically permutations, not combinations. There are 104 = 10000 of them and I regret that I do not have the time to list them. They are all the numbers from 0000 to 9999.
Only YOU can answer that ! It could conceivably be ANY number from 0000 to 9999 !
It could be anything from 0000 to 9999 (10,000 possible combinations).
every number from 0000 to 9999
4000 of them.
0000, 0001, 0002, ...., 9997, 9998, 9999
10000. 0000 to 9999
There are 165 of them and I do not have the patience to list them all.
Oh, isn't that just lovely? You can create so many beautiful combinations using the numbers 1 through 9. Just think of all the possibilities waiting to be discovered! Keep exploring and let your imagination run wild with all the different combinations you can come up with.
0000 0001 0002 ... 9998 9999