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 the five seats.
(i) 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
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
(i)
Sol. Probability = 
(ii)
Sol. Total cases = 5!
favorable ways =14
→ 2
5 → 2
4 → 3
→ 2
3 5 ... ... ...} → 2
= 14
Probability = 
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