1) How many poker hands are there which contain a straight (five ranks in a row, regardless of suit) or a flush (all five cards the same suit)? An ace can count as high (after King) or low (before two) in a straight, as in 10-J-Q-K-A or A-2-3-4-5, but cannot count as both high and low in order to "wrap around", as in K-A-2-3-4 (that's not a straight).

2) Find the coefficient of x^(17) in (x - 2)^(25).