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Mathematics, 10.06.2021 16:30 bazzy94

This problem has questions about UCSC ID numbers. UCSC ID numbersall have 7 digits from 0 to 9. We will assume that all digits can be 0 through 9. Becareful! There are subtleties lurking here. a. How many UCSC ID numbers have digits that sum to 9?
b. How many UCSC ID numbers have digits that sum to 17?
c. What size class must have at least 3 students whose UCSC ID numbers sum to the same number?
d. What is the probability that a randomly selected UCSC ID sums to more than 17?

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