There are five students S 1 , S 2 , S 3 , S 4 and S 5 in a music class and for them there…
Mathematics · JEE Advanced · NTA Exams — Permutations and Combinations
There are five students S1, S2, S3, S4 and S5 in a music class and for them there are five seats R1, R2, R3, R4 and R5 arranged in a row, where initially the seat Ri is allotted to the student Si, 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 Ti denote the event that the students Si and Si + 1 do NOT sit adjacent to each other on the day of the examination. Then, the probability of the event
T1 ∩ T2 ∩ T3 ∩ T4 is
For i = 1, 2, 3, 4, let Ti denote the event that the students Si and Si + 1 do NOT sit adjacent to each other on the day of the examination. Then, the probability of the event
T1 ∩ T2 ∩ T3 ∩ T4 is
- 1/15
- 1/10
- 7/60
- 1/5
Answer
(A) 1/15
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