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Problem 1. Your company is creating product code for its product control. They need you to...

Problem 1. Your company is creating product code for its product control. They need you to figure out some stuff

If the code consists of 3 small letters from our English alphabet followed by a dash, and then 4 numbers followed by a dash and then followed by 2 letters (again small English alphabet), please answer the following important cooperate questions . _ _ _ - _ _ _ _ - _ _ (a) How many different product codes are there if there are no restrictions? (b) How many product codes are there if the initial 3 letter section must all distinct vowels and the first number in the number part must be a 3 or a 7 and the final 2 letters must be different.

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