Dr. Campbell's MLA class has 15 students. All of the students know each other well, and each knows exactly what day of the week they were born on. What is the minimum number of students Dr. Campbell needs to randomly select to guarantee she has chosen two who were born on the same day? (Assume Dr. Campbell is not privy to their birthday information.)
Total number of days in a week = 7
Hence by the Piegonhole's principal:
Minimum number of students Dr. Campbell needs to randomly select to guarantee she has chosen two who were born on the same day = 7 + 1 = 8
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