Find the slop of line having point (2,3) and (5,6)

Explanation

All selections of 5 letters are given by 5th degree terms in
`(1+A+A^(2)+A^(3)+A^(4)+A^(5))(1+B+B^(2)+B^(3)+B^(4))`
`(1+C+C^(2)+C^(3))(1+D+D^(2))(1+E)`
`therefore`Number of 5 letter selections
=Coefficient of `alpha^(5)` in `(1+alpha+alpha^(2)+alpha^(3)+alpha^(4)+alpha^(5))`
`(1+alpha+alpha^(2)+alpha^(3)+alpha^(4))(1+alpha+alpha^(2)+alpha^(3))(1+alpha+alpha^(2))(1+alpha)`

Hence, required coefficient is 71.