Mathematics, 04.06.2021 02:30 alexisfhenders

You have a single ordinary coin; flipping the coin results in either heads (H) or tails (T). When we determine the possible outcomes of flipping the coin, we will count different orderings separately (e. g., TTH and THT are two different outcomes). a. List all the different possible outcomes when you flip the coin once. What is the total number?
b. List all the different possible outcomes when you flip the coin twice. What is the total number?
c. List all the different possible outcomes when you flip the coin three times. What is the total number?
d. Can you determine the total number of possible outcomes when flipping the coin N times? If so, what is it?
e. For parts a through d, the total number of possible outcomes when flipping the coin is the total number of microstates. For each part, use the total number of microstates to calculate the total entropy associated with flipping the coin the stated number of times. Use Boltzmann's constant kB = 1.38 x 10-23 I/K.

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