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Math grd 12

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You are setting a system programing codes for a universal TV remote control. Each code will have five digits and cannot include a 0 or repeat any digits. How many codes
a)do not contain a 7?
b)have 3 as the third digit, and 5 as the fifth digit
c)begin with an even digit?
d)begin and end with an even digit?
Please show all work.
Thank you for all the help that is provided:)

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