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Hi Ankush,
When digits need to be in ascending order, 0 can never be chosen.
So from the 9 digits (1,2,3,.....9) we select any five digits (which can be done in 9C5 ways) and we can arrange the 5 selected digits in ascending order in only one way. So the number of 5 digit numbers in asceding order would be 9C5.
When digits are in descending order (We can have 0 in the units place).
So from all the 10 digits, we select 5 digits in 10C5 ways and we can arrange them in descending order in only one way.
So the number of 5 digit numbers in descending order will be 10C5.
Hope that helps.
All the best.
Regards,
Ashwin (IIT Madras).
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