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#bash - 32 characters + length of X, Y and Z

echo {[X]..[Y]}|xargs -n 1|grep [Z]|wc -l 

e.g. X = 100, Y = 200, Z = 20

$ echo {100..200}|xargs -n 1|grep 20|wc -l 1 

e.g. X = 100, Y = 200, Z = 10

$ echo {100..200}|xargs -n 1|grep 10|wc -l 11