Rank the species in each group in order of increasing nucleophilicity.
a. $CH3^-, ^-OH, ^-NH_2$
b. $H_2O, ^-OH, ^-SH$ in $CH_3OH$
c. $CH_3CH_2S^-, CH_3CH_2O^-, CH_3COO^-$ in $CH_3OH$
d. $CH_3NH_2, CH_3SH, CH_3OH$ in acetone
e. $^-OH, F^-, CI^-$ in acetone
f. $HS^-, F^-, CI^-$ in $CH_3OH$