Find the number of all ordered pairs $( a , b , c )$ of non-negative integers satisfying the following conditions. [4 points] (가) $a + b + c = 7$ (나) $2 ^ { a } \times 4 ^ { b }$ is a multiple of 8.
Find the number of all ordered pairs $( a , b , c )$ of non-negative integers satisfying the following conditions. [4 points]\\
(가) $a + b + c = 7$\\
(나) $2 ^ { a } \times 4 ^ { b }$ is a multiple of 8.