Exams › JEE Advanced › Maths
In a music class, five students named S1, S2, S3, S4, and S5 are initially assigned seats R1, R2, R3, R4, and R5 in a row such that student Si is seated at Ri (where i = 1, 2, 3, 4, 5). On the day of the exam, the seats are randomly reassigned to the students. What is the likelihood that S1 retains seat R1, while none of the other students occupies their originally assigned seat?
- 3/40
- 1/8
- 7/40
- 1/5
Correct answer: 3/40
Solution
The likelihood that S₁ retains seat R₁ while none of the other students occupies their originally assigned seat is 3/40, which can be calculated by considering the total number of possible seat assignments and the specific conditions given in the problem.
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