If all the digits in the number 53426 are permuted in all possible ways and are arranged in decreasing order…
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
34265
34256
43526
43265
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 .