Question

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

• A. $\frac{360}{2401}$
• B. $\frac{5}{54}$
• C. $\frac{51}{71}$
• D. $\frac{5}{18}$

Answer 1

Answer: (A)

$\frac{360}{2401}$

Answer 2

The correct option is: (A) $\frac{360}{2401}$