Find the number of choices if she decides to invite

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A Math professor has 11 colleagues in her (very large) office. Eight of them are English professors, and three are Math professors. She would like to invite some of her colleagues to dinner. Find the number of choices if she decides to invite

a. At least 9 colleagues;

b. All the Math professors, and enough English professors to make the number of Math and English professors equal.

Reference no: EM132463896

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