Combinatorics_problem


#1

In how many ways can 5 numbers be selected and arranged in ascending order from the set {1,2,3,…10}


#2

No. Of ways of selecting 5 nos. from the set is 10C5.
Since the selected nos. are to be arranged in ascending order then the no. of ways it can be arranged is 1 since the nos. can be arranged in ascending order in only 1 way.
So final ans is 10C5.

P.S. Correct me if I am wrong.