Identify the nominalizations in the following sentences $($# of nominalizations in parentheses$)$:

A suggestion by Sasha was made that we should conduct a hiking expedition to the Moorehead Trail. $(2)$

After an increase in the patient$$s level of pain, an administration of pain medicine was given by the doctor. $(2)$

The group's failure was the result of the way the chairman decided to submit his resignation. $(3)$

We need to make a change in the way we handle new technology when we make a decision about its incorporation. $(3)$