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Parents, do you have the best 529 college savings plan? (Yes, you can ...
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Should I Start a 529 (College Savings) Plan for My Child?
Should I Start a 529 (College Savings) Plan for My Child?
Should I Start a 529 (College Savings) Plan for My Child?

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We are selecting one of 3 sectors each month for 6 months, with equal probability for each. We are to find the probability of exactly 2 AI, 2 biotech, and 2 clean energy selections.
We want the number of sequences with exactly 2 of each type. This is a multinomial coefficient:
Question: A robotics engineer is programming a surgical robot that selects one of 4 tools at random for each of 5 procedures, with equal probability. What is the probability that the robot uses each tool at least once over the 5 procedures?

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