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(a) A company introduces a type of barcode containing 2 capital letters followed by 5 digits

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(a) A company introduces a type of barcode containing 2 capital letters followed by 5 digits. 

(i) How many different barcodes can that company generate? Explain. 

(ii) How many would there be if letters could not be repeated but digits could be? Explain. 

(b) The company now introduces new type of barcode in which each barcode contains either 2 or 3 capital letters following by either 5 or 6 digits. How many different barcodes can that company generate? Explain