A problem in Mathematics is given to 3 students A, B and C. If the probability of A solving the problem is \(\dfrac{1}{2}\) and B not solving it is \(\dfrac{1}{4}\) and the whole probability of the problem being solved is \(\dfrac{63}{64}\), then what is the probability of solving it by C?

1
\(\dfrac18\)
2
\(\dfrac1{64}\)
3
\(\dfrac78\)
4
\(\dfrac12\)

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