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There are five students $$π_{1}, π_{2}, π_{3}, π_{4} and π_{5}$$ in a music class and for them there are five seats $$π
_{1}, π
_{2}, π
_{3}, π
_{4} and π
_{5}$$ arranged in a row, where initially the seat $$π
_{π}$$ is allotted to the student $$π_{π}$$, π = 1, 2, 3, 4, 5. But, on the examination day, the five
students are randomly allotted the five seats
For π = 1, 2, 3, 4, let $$π_{π}$$ denote the event that the students $$π_{π}$$ and $$π_{π}$$+1 do NOT sit adjacent to each other on the day of the examination. Then, the probability of the event $$π_{1} \cap π_{2} \cap π_{3} \cap π_{4}$$ is
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