Two similar polygons are shown below: A coordinate grid is shown from positive 10 to negative 10 on the x-axis and from positive 10 to negative 10 on the y-axis. A polygon P prime Q prime S prime R prime is shown with vertex P prime on ordered pair 3, 2, vertex Q prime on ordered pair 1, 2, vertex S prime on ordered pair 1, 1 and vertex R prime on ordered pair 2, 1. A polygon PQSR is shown with vertex P on ordered pair 9, 6, vertex Q on ordered pair 3, 6, vertex S on ordered pair 3, 3 and vertex R on ordered pair 6, 3. Which set of transformations was performed on PQSR to form P'Q'S'R'? A dilation factor of 2 A dilation factor of 1 over 3 A dilation factor of 1 over 2 A dilation factor of 3

Suppose we have a set of small wooden blocks showing the 26 letters of the english alphabet, one letter per block. (think of scrabble tiles.) our set includes 10 copies of each letter. we place them into a bag and draw out one block at a time. (a) if we line up the letters on a rack as we draw them, how different ways coukl we fill a rack of 5 letters? (b) now suppose we just toss our chosen blocks into a pile, and whenever we draw a letter we already have, we put it back in the bag and draw again. how many different piles of 5 blocks could result? possible? piles will contain at least one repeated letter? (c) if we draw out 5 blocks wit hout looking at them, how many different piles are (d) if we draw out 5 blocks without looking at them, how many of the possible 2. (4) consider the following formula. 12 give two different proofs, one using the factorial formulas and the other combina torial.