* Compute the number of permutations of {1,2,3,4,5,6,7,8,9} in which either 2,3,4 are consecutive or 4,5 are consecutive or 8,9,2 are consecutive.

(I believe that this problem involves the Inclusion Exclusion principle and/or Integer Partitions, but I'm not too sure)

o Compute the number of permutations of {1,2,3,4,5,6,7,8,9} in which either 2,3,4 are consecutive or 4,5 are consecutive or 8,9,2 are consecutive