Roddy adjusts his simulation, making it easier and easier to win. Eventually, he finds that if the random numbers are between 1 and 4, and the contest only runs for 4 days, about 39 out of 10,000 people are likely to win (by getting 4,4,4,4). He runs this simulation repeatedly to be sure and then sets aside 39 concert tickets, plus a few more to be safe.

When the contest is launched into the real world, though, what factors might affect the actual number of winners? Select all that apply.
The random chance of the number generator
People who get a 1 and then stop playing the game
The number of people who participate in the game
The results of his simulated trials
People who get a few 4s and then stop playing the game

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.