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How many different 3 digit combinations can there be if the digits are distinct?
Wiki User
∙ 14y ago
With 3 digit numbers there are 10 digits (0, 1, ..., 9) from which to select 3 different digits. This can be done in:
10C3 = 10! / (10-3)!3! = 120 ways.
For a set with n items, r of them can be selected (permuted) in:
n x (n-1) x ... x (n - (r +1)) = n! / (n-r)! = nPr
ways. However, if the order of selection does not matter (just the combination of the r items) then the selected items can be chosen in
r x (r-1) x ... x 1 = r!
ways. Meaning there are
nPr / r! = nCr = n! / (n-r)!r!
combinations possible.
Wiki User
∙ 14y ago
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How many 4 digit combinations can be made from 6 digits?
If the 6 digits can be repeated, there are 1296 different combinations. If you cannot repeat digits in the combination there are 360 different combinations. * * * * * No. That is the number of PERMUTATIONS, not COMBINATIONS. If you have 6 different digits, you can make only 15 4-digit combinations from them.
How many 3 digit combinations numbers one through nine?
9!/6!, if the six different orders of any 3 digits are considered distinct combinations.
How combination in a 9 digit number?
There are different numbers of combinations for groups of different sizes out of 9: 1 combination of 9 digits 9 combinations of 1 digit and of 8 digits 36 combinations of 2 digits and of 7 digits 84 combinations of 3 digits and of 6 digits 126 combinations of 4 digits and of 5 digits 255 combinations in all.
How many combinations in 3879?
There are infinite combinations that can make 3879
What are 8 digit odd numbers with all digits different?
There are only five distinct odd digits.
How many combinations are in a 5 digit number where all digits are distinct and nonzero?
There are 126 different 5 digit combinations. Note that the combination 12345 is the same as the combination 45312.
How many 4 digit combinations can be made from 6 digits?
If the 6 digits can be repeated, there are 1296 different combinations. If you cannot repeat digits in the combination there are 360 different combinations. * * * * * No. That is the number of PERMUTATIONS, not COMBINATIONS. If you have 6 different digits, you can make only 15 4-digit combinations from them.
How many 3 digit combinations numbers one through nine?
9!/6!, if the six different orders of any 3 digits are considered distinct combinations.
How combination in a 9 digit number?
There are different numbers of combinations for groups of different sizes out of 9: 1 combination of 9 digits 9 combinations of 1 digit and of 8 digits 36 combinations of 2 digits and of 7 digits 84 combinations of 3 digits and of 6 digits 126 combinations of 4 digits and of 5 digits 255 combinations in all.
How many combinations in 3879?
There are infinite combinations that can make 3879
What are 8 digit odd numbers with all digits different?
There are only five distinct odd digits.
How many different combinations of an 8 digit password using the same 8 digits?
1
How many 3 digit combinations there 0-9?
The order of the digits in a combination does not matter. So 123 is the same as 132 or 312 etc. There are 10 combinations using just one of the digits (3 times). There are 90 combinations using 2 digits (1 once and 1 twice). There are 120 combinations using three different digit. 220 in all.
How many 5 digit combinations are there in six digits?
about 1,0000000000000
How many number combinations possible from a 13 digit number?
There is only one possible combination of a 13 digit number created from 13 digits. In a combination, the order of the digits does not matter so that 123 is the same as 132 or 312 etc. If there are 13 different digits (characters) there is 1 combination of 13 digits 13 combinations of 1 or of 12 digits 78 combinations of 2 or of 11 digits and so on There are 213 - 1 = 8191 in all. If the characters are not all different it is necessary to have more information.
How many different palindromes are there with 6 digits?
For there to be palindromes, each digit must be replicated. Therefore there are at most three distinct digits.If there are 3 pairs of different digits, then there are 6 palindromes. If there can be more duplicate digits, then there are 27 palindromes.
I have an alarm system keypad numbered 1-4. How many potential 4 digit combinations are there if the numbers can be repeated?
If you have 4 positions, each of which can hold any of the ten digits, you have 10 to the power 4 combinations. If you can have only 4 different digits, you have 4 to the power 4 different combinations.
