Competition problem — Combinatorics

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Combinatorics Difficulty 5.0 AIME, harder Find the answer

59. In a certain year, July has exactly 4 Mondays and 4 Thursdays, the 28th of this month is a Wednesday

将上面的文本翻译成英文，请保留源文本的换行和格式，直接输出翻译结果。

59. In a certain year, July has exactly 4 Mondays and 4 Thursdays, the 28th of this month is a Wednesday

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Solution

Reference answer: Four

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.