A winter resort took a poll of its 350 visitors to see which winter activities people enjoyed. The results were as follows: 178 liked to ski, 154 liked to snowboard, 57 liked to ice skate, 49 liked to ski and snowboard, 15 liked to ski and ice skate, 2 liked to snowboard and ice skate, and 2 liked all three activities. How many people enjoy only skiing? How many people enjoy snowboarding and ice skating, but not skiing? How many people enjoy snowboarding or skiing, but not ice skating? How many people enjoy none of these activities?  How many people enjoy at least 2 activities?

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