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Arrange 2 items of Type A, 2 items of Type B, and 5 items of Type C on a shelf such that items of the same type are grouped together. How many arrangements are possible?
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Solution: Step 1: Calculate arrangements of groups: 3! = 6 ways Step 2: Calculate arrangements within each group: 2! * 2! * 5! = 2 * 2 * 120 = 480 Step 3: Total arrangements = 6 * 480 = 2880
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