Please watch https://www.youtube.com/watch?v=PSS3mCS_Ef8, https://www.youtube.com/watch?v=1stIqr0FGiE, and https://www.loom.com/share/6fe7c8640ff14f0e920d72f62e5fe742 for which one video is a demonstration of how to calculate factorial, nCr, and nPr on Microsoft Excel. Then, please decide which counting rule or method applies for any of the following problems: 1. How many ways are there to choose 3 people out of 20 people? 2. How many ways are there to choose 3 people to be president, vice-president, and secretary out of 20 people? 3. A baseball team has a 25-man roster. A batting order has nine people. How many different batting orders are there? 4. Given the letters A through G, how many different 4-letter passwords can be made if no letter is used more than once?
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