How many ordered pairs $( a , b , c , d , e )$ of non-negative integers satisfy the following conditions? [4 points]\\
(가) Among $a , b , c , d , e$, the number of 0's is 2.\\
(나) $a + b + c + d + e = 10$\\
(1) 240\\
(2) 280\\
(3) 320\\
(4) 360\\
(5) 400