Answer: 15! or 1307674368000
Explanation:
According to the permutations , if we arrange n things in order , then the total number of ways to arrange them = n!
Similarly , when health inspector inspects 15 restaurants in town once each week, the number of different orders can be made for these inspections = 15!
= 15 x 14 x 13 x 12 x 11 x 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
=1307674368000
Hence, the number of different orders can be made for these inspections = 15! =1307674368000