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`
A. `(1)/(15)`
B. `(1)/(10)`
C. `(7)/(60)`
D. `(1)/(5)`
