At the start of each year, the students of Math Prep High School must join at least one of the clubs they offer. All of the clubs were very popular: Math Club had 154 signups, Science Club had 132 signups, and the Arts Club had 148 signups, and 20 very ambitious students signed up for all three. If there are 400 students at Math Prep, how many students signed up for at least two clubs?

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