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Students have choice of 4 english classes (ENG 101, 102, 205, 300), and 2 Math classes (MATH 100, MATH 400). Students have to choose 1

Students have choice of 4 english classes (ENG 101, 102, 205, 300), and 2 Math classes (MATH 100, MATH 400). Students have to choose 1 English and 1 math class.

a. How many students do you have to have before you know that 2 students share the same combination of classes?

b. How many students do you have to have before you know that 4 students share the same combination of classes?

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