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tmua.me Medium Set C Paper 2 · Q11

Paper 2Number & counting

All the positive integers whose usual base-ten representations contain only the digits 00 and 11 are listed in increasing order:

1, 10, 11, 100, 101, 110, 111,….1,\ 10,\ 11,\ 100,\ 101,\ 110,\ 111,\ldots.

What is the sum of the first 3131 integers in this list?

A8888888888
B166665166665
C177760177760
D177776177776
E355552355552

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