5 persons entered a lift cabin in the cellar of a 7-floor building apart from cellar. If each of the independently and with equal probability can leave the cabin at any floor out of the 7 floors beginning with the first, then the probability of all the 5 persons leaving the cabin at different floors is
5 persons entered a lift cabin in the cellar of a 7-floor building apart from cellar. If each of the independently and with equal probability can leave the cabin at any floor out of the 7 floors beginning with the first, then the probability of all the 5 persons leaving the cabin at different floors is
\(\frac{360}{2401}\)
\(\frac{5}{54}\)
\(\frac{51}{71}\)
\(\frac{5}{18}\)
The Correct Option is A
Solution and Explanation
The correct option is: (A) \(\frac{360}{2401}\)
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