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Home » Mean absolute deviation: 1.6 / 5 = 0.32 - Parker Core Knowledge

Mean absolute deviation: 1.6 / 5 = <<1.6/5=0.32>>0.32 - Parker Core Knowledge

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 A university professor is assigning 6 different research projects to 3 students such that each student receives exactly 2 projects. In how many distinct ways can the projects be distributed?

📌 Here, we must distribute 6 unique projects among 3 students, with each receiving exactly 2 projects. This can be approached through combinations and division by symmetry since the order in which students receive the projects doesnt matter.

📌 Divide the 6 projects into 3 groups of 2:

📌 First, choose 2 projects out of 6 for the first student:

📌 Choose 2 projects for the second student from the remaining 4:

📌 Assign the last 2 projects to the third student:

📌 Account for indistinguishability of students:

📌 Since each group corresponds to a distinct student, we dont need to divide by the number of permutations of students (unlike if the groups were indistinct). Therefore, the total number of ways is:

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