Combinatorics | Number Theory Answers

In the centre of Future city there are 16 four-storey buildings set out in a square array. On each or the four floors of each building, there are aerial walkways to the same floor of each adjacent building. There are also lifts in each building. the lowest floor of the buildings is set off the ground so that savage and ferocious animals can roam in beautiful parkland beneath the buildings. Find how many different paths there are from the lowest floor of the most southwest building to finish at the top floor most northeast building? each path is always moving north, east or up, never south, west or down. find an explicit or recursive rule on how to find the number of possible paths from the start to finish point in this secnario.

The time taken in hours by four different machines for completing four different jobs is
given below:
Machines
A B C D
I 12 30 21 15
II 18 13 9 31
Jobs III 44 30 24 21
IV 23 30 28 14