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You are setting up a system of programming codes for a universal TV remote. Each code will have five digits and cannot include a zero

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You are setting up a system of programming codes for a universal TV remote. Each code will have five digits and cannot include a zero or repeat any digits. How many codes: a) have 3 as the third digits and 7 as the fifth digits? b) begin and end with an even number? Show all of your work for full marks

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