Answer: 12,620,256
Explanation:
Given: The camera shop socks eight different types of batteries and there re at least 31 batteries of each type.
Here we want to select r= 31 batteries from n= 8 kinds of batteries, then formula we use to find number of ways is


Hence, the number of ways can a total inventory of 31 batteries be distributed among the eight different types = 12,620,256