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For The Mathematically Inclined

Anil Saigal
04/17/2024

Problem 1

Calculate Theta in Fig 1 on the right.

Problem 2

Ankita, who loves potatoes, has a bag that contains 25 Russet potatoes, 19 Sweet potatoes, 15 Purple Majesty potatoes, 11 Norland Red potatoes, and 7 Yukon Gold potatoes. Assuming that Ankita cannot tell the difference between the types of potatoes while she is choosing them randomly from the bag. What is the minimum number of potatoes that Ankita must take out from the bag to guarantee that she has 10 of the same type of potato?
 
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Fig. 1

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