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There are five students S1,\ S2,\ S3,\ S...

There are five students `S_1,\ S_2,\ S_3,\ S_4` and `S_5` in a music class and for them there are five seats `R_1,\ R_2,\ R_3,\ R_4` and `R_5` arranged in a row, where initially the seat `R_i` is allotted to the student `S_i ,\ i=1,\ 2,\ 3,\ 4,\ 5` . But, on the examination day, the five students are randomly allotted five seats. The probability that, on the examination day, the student `S_1` gets the previously allotted seat `R_1` , and NONE of the remaining students gets the seat previously allotted to him/her is `3/(40)` (b) `1/8` (c) `7/(40)` (d) `1/5`

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PARAGRAPH A There are five students S_1,\ S_2,\ S_3,\ S_4 and S_5 in a music class and for them there are five seats R_1,\ R_2,\ R_3,\ R_4 and R_5 arranged in a row, where initially the seat R_i is allotted to the student S_i ,\ i=1,\ 2,\ 3,\ 4,\ 5 . But, on the examination day, the five students are randomly allotted five seats. (For Ques. No. 17 and 18) The probability that, on the examination day, the student S_1 gets the previously allotted seat R_1 , and NONE of the remaining students gets the seat previously allotted to him/her is 3/(40) (b) 1/8 (c) 7/(40) (d) 1/5

PARAGRAPH A There are five students S_1,\ S_2,\ S_3,\ S_4 and S_5 in a music class and for them there are five seats R_1,\ R_2,\ R_3,\ R_4 and R_5 arranged in a row, where initially the seat R_i is allotted to the student S_i ,\ i=1,\ 2,\ 3,\ 4,\ 5 . But, on the examination day, the five students are randomly allotted five seats. (For Ques. No. 17 and 18) The probability that, on the examination day, the student S_1 gets the previously allotted seat R_1 , and NONE of the remaining students gets the seat previously allotted to him/her is 3/(40) (b) 1/8 (c) 7/(40) (d) 1/5

PARAGRAPH A There are five students S_1,\ S_2,\ S_3,\ S_4 and S_5 in a music class and for them there are five seats R_1,\ R_2,\ R_3,\ R_4 and R_5 arranged in a row, where initially the seat R_i is allotted to the student S_i ,\ i=1,\ 2,\ 3,\ 4,\ 5 . But, on the examination day, the five students are randomly allotted 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_1nnT_2nnT_3nnT_4 is A. 1/(15) (b) 1/(10) (c) 7/(60) (d) 1/5

PARAGRAPH A There are five students S_1,\ S_2,\ S_3,\ S_4 and S_5 in a music class and for them there are five seats R_1,\ R_2,\ R_3,\ R_4 and R_5 arranged in a row, where initially the seat R_i is allotted to the student S_i ,\ i=1,\ 2,\ 3,\ 4,\ 5 . But, on the examination day, the five students are randomly allotted 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_1nnT_2nnT_3nnT_4 is 1/(15) (b) 1/(10) (c) 7/(60) (d) 1/5

PARAGRAPH A There are five students S_1,\ S_2,\ S_3,\ S_4 and S_5 in a music class and for them there are five seats R_1,\ R_2,\ R_3,\ R_4 and R_5 arranged in a row, where initially the seat R_i is allotted to the student S_i ,\ i=1,\ 2,\ 3,\ 4,\ 5 . But, on the examination day, the five students are randomly allotted 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_1nnT_2nnT_3nnT_4 is 1/(15) (b) 1/(10) (c) 7/(60) (d) 1/5

PARAGRAPH A There are five students S_1, S_2, S_3, S_4 and S_5 in a music class and for them there are five seats R_1, R_2, R_3, R_4 and R_5 arranged in a row, where initially the seat R_i is allotted to the student S_i , i=1, 2, 3, 4, 5 . But, on the examination day, the five students are randomly allotted 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_1nnT_2nnT_3nnT_4 is 1/(15) (b) 1/(10) (c) 7/(60) (d) 1/5