# Problem of the Day B

**Number Theory**Level 4

\[ \large 2^{a} + 2^{b} = c! \]

Given that \( a, b, c \) are non-negative integers, how many ordered pairs \( ( a, b) \) are there such that the equation above is satisfied?

\[ \large 2^{a} + 2^{b} = c! \]

Given that \( a, b, c \) are non-negative integers, how many ordered pairs \( ( a, b) \) are there such that the equation above is satisfied?

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