It was peaceful and quiet at Old Brooklyn fair. Families had come from local neighborhoods and mayor Virgil Jurol had defined that it appeared to be a success; biggest crowd ever. Then it occurred. You may ask what it is... it is revelation that one of local vendors had been found out to be selling meat which was of questionable quality. Implications could be drastic if sicknesses of customers could not be quelled.

Mayor Virgil called in chief epidemiologist, Tony Krol, and two sat down to find the plan. Tony defined that first he would require to determine how many people could be sick using sample space ideology. He was able to determine that order mattered and that there were 4 kinds of meat sold. He also was able to determine four people which had eaten some of every one of the 4 kinds of meat via sampler plate. This is what he reported were possible combinations of food order:

Write sample space of 4 people, writing all possible food orders.
Dr. Krol discovered that eating second type of meat third was most dangerous. How many combinations would lead to outcome? Write them.
Dr. Krol also hypothesized that eating fourth type of meat first, coupled with 2nd meat third was actually most dangerous. How many combinations lead to this? Write them.