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Probability question

2018 · Shift 1 · Q35

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PYQ Library
JEE Advanced
Mathematics
Probability
2018 · Shift 1 · Q35

Probability question

2018 · Shift 1 · Q35

JEE AdvancedMathematicsProbabilityMCQ+3 / −1

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. (There are two questions based on Paragraph "A", the question given below is one of them) The probability that, on the examination day, the student S1 gets the previously allotted seat R1, and NONE of the remaining students gets the seat previously allotted to him/her is

A
${3 \over {40}}$
B
${1 \over 8}$
C
${7 \over 40}$
D
${1 \over 5}$

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