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Combinatorics Difficulty 3.0 AMC 10/12 Find the answer United Kingdom

In the Kangaroo republic each month consists of 40 days, numbered 1 to 40. Any day whose number is divisible by 6 is a holiday, and any day whose number is a prime is a holiday. How many times in a month does a single working day occur between two holidays?

(A) $1$ (B) $2$ (C) $3$ (D) $4$ (E) $5$

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