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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