Find the number of objects for the following:

-the number of bijections from [n] to [n] such that there are exactly 3 elements of [n] which are NOT fixed points

-the number of positive integers a,b,c such that a+b+c=366

-a trial is being run on two potential drugs. 6000 people have signed up to participate. Each person will either be given the first vaccine, the second or a placebo. They split the 6000 people evenly into each group. Find the number of ways to run the trial