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46 x 45 x 44 x 43 x 42 x 41 = 6,744,109,680

* * * * *

That is the number of permutations. The number of combinations - where the order of the number does not matter (eg in a lottery) - is

46*45*44*43*42*41/(6*5*4*3*2*1) = 9,366,819

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Q: How many number combinations are possible in a 6 number combination using 1-46 and using each number only once per combination?
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In a 7 segment display, the symbols can be created using a selected number of segments where each segment is treated as a different element.When 1 segment is used, the possible positions are 7because it can be any of the 7 segments (7C1=7).When 2 segments are used, the number of possible combinations are 7C2=21.When 3 segments are used, the number of possible combinations are 7C3=35When 4 segments are used, the number of possible combinations are 7C4=35When 5 segments are used, the number of possible combinations are 7C5=21When 6 segments are used, the number of possible combinations are 7C6=7When 7 segments are used, the number of possible combinations are 7C7=1Adding the combinations, 7+21+35+21+7+1=127Therefore, 127 symbols can be made using a 7 segment display!


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Related questions

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