What is the probability that the numbers that come up will be in ascending order (not necessarily strictly ascending, but never a lower number after a higher)?

Intended to be solved without a computer.

a(1)= 6  ;

 a(2)=21  ;

a(3)=56 ;

>  a(4)=126   ; 

a(5)= 252  ;

......

                   a(n)=combin(n+5,n)

.......................

p(4)=126/(6^4)= 7/72

Edited on January 4, 2013, 6:56 pm

Posted by Ady TZIDON on 2013-01-04 18:50:51