The correct answer for this question is this one:
C. The Carl G. Jung exhibition runs from June 17, to September 25, 2010. The sentence correctly uses commas to separate the elements of a date is choice letter C.
Here are the following choices.
A. The Carl G. Jung exhibition runs from June 17 to September 25 2010.
B. The Carl G. Jung exhibition runs from June, 17 to September, 25 2010.
C. The Carl G. Jung exhibition runs from June 17, to September 25, 2010.
D. The Carl G. Jung exhibition runs from June 17 to September 25, 2010.