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Combinatorics Difficulty 2.0 Junior Find the answer United Kingdom

Tom has a list of nine integers: 1, 2, 3, 4, 5, 6, 7, 8 and 9. He creates a second list by adding 2 to some of the integers in the first list and by adding 5 to all of the other integers in the first list. What is the smallest number of different integers he can obtain in the second list?

(A) $5$ (B) $6$ (C) $7$ (D) $8$ (E) $9$

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