12345, 12354, 12435, 12453, 12534, 12543, 13245, 13254, 13425, 13452, 13524, 13542, 14235, 14253, 14325, 14352, 14523, 14532, 15234, 15243, 15324, 15342, 15423, 15432, 21345, 21354, 21435, 21453, 21534, 21543, 23145, 23154, 23415, 23451, 23514, 23541, 24135, 24153, 24315, 24351, 24513, 24531, 25134, 25143, 25314, 25341, 25413, 25431, 31245, 31254, 31425, 31452, 31524, 31542, 32145, 32154, 32415, 32451, 32514, 32541, 34125, 34152, 34215, 34251, 34512, 34521, 35124, 35142, 35214, 35241, 35412, 35421, 41235, 41253, 41325, 41352, 41523, 41532, 42135, 42153, 42315, 42351, 42513, 42531, 43125, 43152, 43215, 43251, 43512, 43521, 45123, 45132, 45213, 45231, 45312, 45321, 51234, 51243, 51324, 51342, 51423, 51432, 52134, 52143, 52314, 52341, 52413, 52431, 53124, 53142, 53214, 53241, 53412, 53421, 54123, 54132, 54213, 54231, 54312, 54321
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The combinations of the numbers 12345, without repetition, are:
12345, 12354, 12435, 12453, 12534, 12543, 13245, 13254, 13425, 13452, 13524, 13542, 14235, 14253, 14325, 14352, 14523, 14532, 15234, 15243, 15324, 15342, 15423, 15432, 21345, 21354, 21435, 21453, 21534, 21543, 23145, 23154, 23415, 23451, 23514, 23541, 24135, 24153, 24315, 24351, 24513, 24531, 25134, 25143, 25314, 25341, 25413, 25431, 31245, 31254, 31425, 31452, 31524, 31542, 32145, 32154, 32415, 32451, 32514, 32541, 34125, 34152, 34215, 34251, 34512, 34521, 35124, 35142, 35214, 35241, 35412, 35421, 41235, 41253, 41325, 41352, 41523, 41532, 42135, 42153, 42315, 42351, 42513, 42531, 43125, 43152, 43215, 43251, 43512, 43521, 45123, 45132, 45213, 45231, 45312, 45321, 51234, 51243, 51324, 51342, 51423, 51432, 52134, 52143, 52314, 52341, 52413, 52431, 53124, 53142, 53214, 53241, 53412, 53421, 54123, 54132, 54213, 54231, 54312, 54321
To calculate the number of combinations of a set of numbers, you can use the formula for combinations: nCr = n! / r!(n-r)!. In this case, you have 5 numbers (1, 2, 3, 4, 5) and you want to choose all possible combinations of 3 numbers. So, 5C3 = 5! / 3!(5-3)! = 10. Therefore, there are 10 combinations of 3 numbers from the set {1, 2, 3, 4, 5}.
Well, honey, there are actually 120 different ways you can rearrange the numbers 1, 2, 3, 4, and 5. So, you can mix and match those bad boys in a total of 120 unique combinations. Just make sure to keep track of them all, or you might end up with a case of number confusion.
Oh, what a lovely question! Let's think of these combinations as happy little trees in a big forest. Each number from 1 to 5 can be used once in a combination of 5 digits. So, there are 5 options for the first digit, 4 options for the second, 3 for the third, 2 for the fourth, and 1 for the last digit. When you multiply these together, you get 5 x 4 x 3 x 2 x 1 = 120 unique combinations. Just like painting, it's all about enjoying the process and seeing the beauty in every little detail.
There are: 12345C3 = 3.134847985*1011
There are 126 different 5 digit combinations. Note that the combination 12345 is the same as the combination 45312.
It can have 120 combinations . . .
5*4*3*2*1 = 120 combinations. * * * * * No. The previous answerer has confused permutations and combinations. There are only 25 = 32 combinations including the null combinations. There is 1 combination of all 5 numbers There are 5 combinations of 4 numbers out of 5 There are 10 combinations of 3 numbers out of 5 There are 10 combinations of 2 numbers out of 5 There are 5 combinations of 1 numbers out of 5 There is 1 combination of no 5 numbers 32 in all, or 31 if you want to disallow the null combination.
Possible 5 digit combinations using 5 digits only 1 time is 5! or 5*4*3*2*1 or 120. Using 5 digits where numbers can be used 5 times is 55 or 3125.