There are 15,737 licensed physicians in indiana. assume that indianas population is approximately 6.6 million. which of the following statements best represents the ratio of physicians to residents in indiana?

a) there are about 419 physicians per capita in indiana.
b) there are 2384 physicians per 100,000 residents in indiana.
c) there are about 238 physicians per 100,000 residents in indiana.
d) there are 15,373 physicians per capita in indiana.

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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.