AMC 12B 2003 Problem 19

Let S be the set of permutations of the sequence 1,2,3,4,5 for which the first term is not 1 . A permutation is chosen randomly from S. The probability that the second term is 2 , in lowest terms, is a / b. What is a+b ?

Answer Choices
A. 5
B. 6
C. 11
D. 16
E. 19