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An ice cream shop has 7 flavors to choose from. If you can pick 2 different flavors (assume the order is not important), in how many ways can you choose your 2 flavors?

In simple interest, the dollar amount of interest grows year after year. 

Yet another college is also facing the same options, and their preference schedule is below. This time, use the Condorcet Method to determine the winner if there is one. If there is no Condorcet winner, explain why. # of votes 15 13 19 3 1st choice R H F H 2nd choice H R H F 3rd choice F F R R Write ONLY your answer in the response box. Show your work which justifies your answer ON YOUR PAPER. No credit is given unless you justify your answer.

For a certain 2-week period, the number of people testing positive for a new virus doubled every 3 days. This is exponential growth.

Suppose that the number of people infected with COVID-19 in a certain country has been doubling every week, and there are 6,400 infected people today. When were there only 100 infected people in that country?

An airline reservation code consists of two alphabet letters followed by 3 digits. For example, “TL307” is a valid code, and so is “LL222.” Clearly, repetition is allowed. Assume that all 26 letters of the English alphabet are available, how many valid codes are possible?  Write ONLY your answer in the response box. Show your work which justifies your answer ON YOUR PAPER.  

In compound interest, the dollar amount of interest stays the same year after year. 

The Fibonacci sequence starts with 1, 1, 2, 3… and contains the number 19. 

If an election is held with exactly three candidates, then there may not be a Condorcet winner.

Which method of election uses a point system, i.e., 5 points for each 1st-place ballot, 4 points for each 2nd place ballot, etc.?