## Let $$S$$ be the set of permutations of the sequence $$2, 3, 4, 5, 6$$ for which the first term is not $$2.$$ A permutat

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### Let $$S$$ be the set of permutations of the sequence $$2, 3, 4, 5, 6$$ for which the first term is not $$2.$$ A permutat

by Vincen » Sat Nov 27, 2021 4:46 am

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Let $$S$$ be the set of permutations of the sequence $$2, 3, 4, 5, 6$$ for which the first term is not $$2.$$ A permutation is chosen randomly from $$S.$$ The probability that the second term is $$5$$ is given by $$\dfrac{a}{b}$$ (in lowest terms). What is $$a+b?$$

(A) 5
(B) 6
(C) 11
(D) 16
(E) 19