Four square pieces of corkboard are lined up to make a rectangle. The area of the entire corkboard is 400 in? What is the length of the entire rectangle?
a.) Draw a picture to represent the situation.
b.) What is the area of one square? How did you find it?
c.) Once you know the area, how do you find the side length of each square?
Holio with Pror
d.) Once you know the side length of each square, how do you find the length of the rectangle?
14020
MERCHANG
WONDE

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.