How many ordered pairs $( a , b , c , d , e )$ of natural numbers satisfy the following conditions? [3 points] (a) $a + b + c + d + e = 12$ (b) $\left| a ^ { 2 } - b ^ { 2 } \right| = 5$ (1) 30 (2) 32 (3) 34 (4) 36 (5) 38
How many ordered pairs $( a , b , c , d , e )$ of natural numbers satisfy the following conditions? [3 points]\\
(a) $a + b + c + d + e = 12$\\
(b) $\left| a ^ { 2 } - b ^ { 2 } \right| = 5$\\
(1) 30\\
(2) 32\\
(3) 34\\
(4) 36\\
(5) 38