\\\\(\ extbf{Making the greatest and the smallest 5-digit numbers using different digits}\\\\)Digits are \\\\(0, 1, 2, 3, 4, 5, 6, 7, 8, 9\\\\)\\\\(5\\\\) always appear at ten's place = _ _ _ \\\\(5\\\\) _For greatest number place \\\\(9\\\\) at the highest place value and then \\\\(8\\\\) and \\\\(7\\\\) and in units place \\\\(6\\\\).\\\\(\ extbf{Therefore the greatest number is 98756}\\\\)Now for smallest number take the digit \\\\(1\\\\), as a number cannot start with \\\\(0\\\\)Then write \\\\(0\\\\) and \\\\(2\\\\) in the next places and \\\\(3\\\\) in units place.\\\\(\ extbf{Therefore the smallest number is 10253}\\\\)\\\\(\ extbf{Hence, the greatest and least 5-digit numbers are 98756 and 10253 respectively}\\\\).