There are five students $$๐_{1}, ๐_{2}, ๐_{3}, ๐_{4} and ๐_{5}$$ in a music class and for them there are five seats $$๐
_{1}, ๐
_{2}, ๐
_{3}, ๐
_{4} and ๐
_{5}$$ arranged in a row, where initially the seat $$๐
_{๐}$$ is allotted to the student $$๐_{๐}$$, ๐ = 1, 2, 3, 4, 5. But, on the examination day, the five
students are randomly allotted the five seats
For ๐ = 1, 2, 3, 4, let $$๐_{๐}$$ denote the event that the students $$๐_{๐}$$ and $$๐_{๐}$$+1 do NOT sit adjacent to each other on the day of the examination. Then, the probability of the event $$๐_{1} \cap ๐_{2} \cap ๐_{3} \cap ๐_{4}$$ is
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