factor by grouping to find the length and width of the park. a tree is to be placed in the center of the park with a rectangular flower garden around it. the area of the flower garden is (3x^2 14x 8)\ m^2. factor the area to find the lengths of the sides of the flower garden. at the southeast corner of the park, the city is going to install a statue. the area of the base of the fountain is (4x^2-16)\ m^2 . factor the area to find the lengths of the sides of the statue

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.