According to Skennerton, the projected production was for 24,200 rifles by the end of 1941, but due to "non-delivery of important machine tools", production was delayed and by the end of 1941 only 1,325 rifles were completed. Like the MkI to MkI* changeover, there is also some overlap in 1941 and 1942 rifles. The lowest 1942 I have recorded is 0C1460 and the highest 1941 to date is 0C2904. Based on all of this, my assumption, and only an assumption, is that as stated by Skennerton, there were 1,325 rifles completed in 1941; however, there are approx. 2,500 to 2,900 1941 dated rifles.
With all of this said, I like muffett's answer better!!