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A school had $380$ sweatshirts in stock for students to buy. Two colors, green and purple, and two styles, hood and no hood, were available. Of all the sweatshirts, $210$ had no hood and $180$ were green. Of the sweatshirts that were purple, $70$ had a hood.$\newline$Which statements about the sweatshirts are true?$\newline$Select all that apply.$\newline$A More than half of the sweatshirts had hoods.$\newline$B More than half of the sweatshirts were purple.$\newline$C More than half of the green sweatshirts had hoods.$\newline$D More than half of the sweatshirts without hoods were purple.$\newline$E More than half of the sweatshirts were green and had a hood.$\newline$This is a required question$\newline$Request edit access