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There are 2 1 students. Each day two randomly chosen lucky students get presents: one student gets a book, the other student gets a pencil.

There are

21

students. Each day two randomly chosen lucky students get presents: one student gets a book, the other student gets a pencil. Let

x

be the total number of the students getting no book and

Y

be the total number of students getting no pencil after

7

days. Find the correlation coefficient

(x, Y) .

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