If all the digits in the number 53426 are permuted in all possible ways and are arranged in decreasing order, then the number having rank 89 , is

Step-by-step solution

Number of numbers starts with digit 6,5 and 4 is 24,24 and 24 respectively. So, total numbers is 72 . Now, number of numbers starts with 36,35 and 34 is 6,6 and 6 respectively. The 90th number is 34256 . So, 89 th number is 34265 .