Determine the Sample Space for the Experiment $S = \{ 1,2,3,4 \}$

Multiple Choice

Determine the sample space for the experiment.
Four coins are flipped and the number of heads observed is recorded.

A) $S = \{ 1,2,3,4 \}$
B) $S = \{ 4 \}$
C) $S = \{ 0,1,2,3,4 \}$
D) $S = \{ \mathrm { HT } , \mathrm { TH } \}$
E) $S = \{ \mathrm { HHHH } \}$