The number of ways in which 6 pencils can be distributed between two boys such that each boy gets at least one pencil is 
The number of ways in which 6 pencils can be distributed 
  between two boys such that each boy gets at least one pencil is

I think it is 5, but the answer is 62. Where am I wrong?

in order to have atleast 1 pencil with each boy, give 1 pencil to each. Now remaining 4 can be distributed among two in 5 ways only so I think u r correct.(pencils are same)
