Matchsticks can be used to write digits, as shown in the diagram. How many different positive integers can be written using exactly six matchsticks in this way?
A. 2 B. 4 C. 6 D. 8 E. 9
C.
The number of matchsticks used for each of the digits 0 to 9 is 6, 2, 5, 5, 4, 5, 6, 3, 7 and 6 respectively. Hence, the positive integers that can be made using exactly six matches are 6, 9, 14, 41, 77 and 111. Therefore 6 different positive integers can be made.
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