Determine the number of significant digits in the measurement.

60.00 g

a.4
b.5
c.1

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4 significant figures. All figures are significant because the zeros are in between two significant digits

Significant digits in 60.00 g is a. 4.
Because any natural/whole number counts, and any 0s after the decimal point also counts. And any number between two significant figures also counts as a significant figure, in this case, between 6 and the 0s there is another 0, so it counts.
In total, there are 4 significant figures in 60.00 g.