A standardized test comprises five examinations: reading, writing, math, science, and social studies, and these examinations may be taken in any order; however, in one state, there is one restriction: neither the writing nor the math test may be taken last.

In how many different orders can the five tests be taken so that this restriction is met?

How many ways can eight people be seated at two tables if four people should be at each table, and it only matters at which table each person sits (ass opposed to which seat)?

The spades and the aces are removed from a standard deck of 52. Give the probability that a card drawn at random will be a red three.