1. At a high school, 200 students were asked whether they attended the last soccer game. Of the 200 students surveyed, 90 students went to the game, 40 boys went to the game, and 70 girls
did not go the game.
Fill in the two-way table below to display the data
a.
Went
Did not
Total
go
70
120
girls
boys
Total
50
40
40
80
90
110
200
b. What percentage of the boys surveyed attended the game? 4|
Ok

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.