)how many switching functions of two variables (x and y) are there?

The answer is 16

Explanation:

According to the Boolean Combinational logic the possible number of  switching functions with two variables, those being X and Y, is 16.

so, we can exemplify it with this equation:

N = 2²ⁿ → 2²⁽²⁾  = 2⁴ = 16           (n = 2 because of the number of variables)

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