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There are 40 students in STA201 section Z. Mr. Tausif picked 10 students' names and kept his selection secret. Mr. Shehran and Ms. Lubaba chose

There are 40 students in STA201 section Z. Mr. Tausif picked 10 students' names and kept his selection secret. Mr. Shehran and Ms. Lubaba chose 5 and 6 students' names respectively without telling each other about their selections. (There might be common students within Mr. Shehran’s list and Ms. Lubaba’s list). What is the probability that exactly 2 of Mr. Shehran’s chosen students and 3 of Ms. Lubaba’s chosen students match the 10-student list of Mr. Tausif?

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