Answer: There are 360360 ways to appoint the members of the cabinet.
Step-by-step explanation:
Since we have given that
Number of eligible candidates = 15
Number of spots available = 5
We need to find the number of different ways the members can be appointed where rank matters
For this we will use "Permutations":
So, the required number of different ways in choosing the members for appointment is given by

Hence, there are 360360 ways to appoint the members of the cabinet.
Answer:
About 947 hours, walking at 5 km (3 miles)/hour.
Walking 8 hours /day [at that pace you would need to be an Olympic Athlete to keep up the pace] it will take about four months.
Walk slower, it will take longer.