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To calculate the number of combinations between 0000 and 9999, we can treat each digit as a separate choice. Since there are 10 possible digits (0-9) for each of the four positions, the total number of combinations is 10^4, which equals 10,000. This includes combinations like 0000, 1234, 9999, etc.
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Steve
MaxineWell, isn't that a happy little question! Let's see here. With four digits ranging from 0 to 9, there are 10 options for each digit. So, if we multiply 10 options for each of the four digits together, we get a total of 10,000 possible combinations from 0000 to 9999. Just imagine all the beautiful possibilities waiting to be discovered!
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
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List the 4 digit combinations made using 1 through 9?
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.
How many possible 4 number combinations can you get using numbers 0-9?
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.
How many 4 digit numbers are there?
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]
How many four digit numbers are there?
Oh, dude, there are like 9,000 four-digit numbers. It's simple math, you just start from 1000 and go up to 9999. So, if you ever need to count them all, just grab some snacks and get comfy because you'll be here for a while.
How many 4 digit combination no repeated numbers?
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!
