A road from Tamworth to Broken Hill is 999 km long. There are road signs each kilometre along the road that show the distances (in kilometres) to both towns as shown in the diagram. 0|999 1|998 2|997 3|996 · · · 998|1 999|0 How many road signs are there that use exactly two different digits?
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Australian Mathematics Competition 2018 - Junior (2018)
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