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Answer: 12,620,256
Step-by-step 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
The given term is: 
Since here, the numerator i.e.
cannot be factorized.
SO, the only excluded value is found on the basis of the denominator. The denominator should not be equal to 0, otherwise, the fraction will turn out to be zero.
SO, if y
-4, then denominator will not be zero.
Therefore, the excluded value is -4
Since here, the numerator i.e.
SO, the only excluded value is found on the basis of the denominator. The denominator should not be equal to 0, otherwise, the fraction will turn out to be zero.
SO, if y
Therefore, the excluded value is -4