Suppose the following set of random numbers is being used to simulate the event of a basketball player making three free throws in a row. how should the numbers be rearranged?
860583 785814 010122 337198 621549 034076 796495 978078 40 333153
a. 860583 785814 010122 337198 621549 034076 796495 978078 40 333153
b. 860 583 785 814 010 122 337 198 621 549 034 076 796 495 978 078 433 330 333 153
c. 86058 37858 14010 12233 71986 21549 03407 67964 95978 07843 33303 33153
d. 8605 8378 5814 0101 2233 7198 6215 4903 4076 7964 9597 8078 4333 3033 3153

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.