Four houses in a row are each to be painted with one of the colors red, blue, green, and yellow. in how many different ways can the houses be painted so that no two adjacent houses are of the same color? there are possible ways to paint the houses.

Is there a direction u in which the rate of change of f(x, y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.