How many strings of length 5 formed from the digits 0,1,2,3,4 are there such that for each j∈{1,2,3,4}, at least j of the digits are less than j? (For example, 02214 satisfies the condition because it contains at least 1 digit less than 1, at least 2 digits less than 2, at least 3 digits less than 3, and at least 4 digits less than 4. The string 23404 does not satisfy the condition because it does not contain at least 2 digits less than 2.)<spanclass=′latex−bold′>(A)</span>500<spanclass=′latex−bold′>(B)</span>625<spanclass=′latex−bold′>(C)</span>1089<spanclass=′latex−bold′>(D)</span>1199<spanclass=′latex−bold′>(E)</span>1296