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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=35
When 4 segments are used, the number of possible combinations are 7C4=35
When 5 segments are used, the number of possible combinations are 7C5=21
When 6 segments are used, the number of possible combinations are 7C6=7
When 7 segments are used, the number of possible combinations are 7C7=1
Adding the combinations, 7+21+35+21+7+1=127
Therefore, 127 symbols can be made using a 7 segment display!
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