Counting switching functions

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By using 16 bit binary in BCD , how many switching functions can exist ?

Now , since this is BCD anything above 1001 is invalid. Considering 16 bits : 1001 1001 1001 1001

Above is number of possible combinations : 0 - 9999 There are 10^4 possible combinations. Number of switching functions : 2^(10^4)

Answer given is (10^4). Am I missing something obvious ?

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