In Freeport, Illinois, Empire Street runs east to west and route 26 runs north to south. Zippy’s Pizza parlor is located on route 26, 3 miles south of Empire street.
Zippy’s advertises that it delivers within a 4 mile radius.

Write an equation that represents the radius of delivery for Zippy’s Pizza. Assume that Zippy’s is located at the origin.

- How far east and west from route 26 can you live on Empire street and still receive Zippy’s Pizza delivery?

- Little Cubs Field is located 2 miles west and 4 miles north of Zippy’s. How far is Little Cubs Field from Zippy’s?

- How far is Little Cubs Field from the radius of delivery?

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.