There are five students \( \mathrm{S}_{1}, \mathrm{~S}_{2}, \mathrm{~S}_{4} \) and \( \mathrm{S}...
There are five students \( \mathrm{S}_{1}, \mathrm{~S}_{2}, \mathrm{~S}_{4} \) and \( \mathrm{S}_{5} \) in a music class and for them thre are five sets \( R_{1}, R_{2}, R_{3}, R_{4} \) and \( R_{5} \)
P arranged in a row, where initially the seat \( R_{1} \) is alotted to
W the students \( \mathrm{S}_{i}, \mathrm{i}=1,2,3,4,5 \). But, on the examination day, the five students are randomly allotted the five seats.
For \( i=1,2,3,4 \), let \( T_{i} \) denote the event that the students \( S_{i} \) and \( S_{i=1} \) do NOT sit adjacent to each other on the day of the examination. Then the probability of the event \( T_{1} \cap T_{2} \cap T_{3} \cap T_{4} \) is -
[JEE Advanced-2018]
(A) \( \frac{1}{15} \)
(B) \( \frac{1}{10} \)
(C) \( \frac{7}{60} \)
(D) \( \frac{1}{5} \)
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