19 boys turn out for playing hockey. Of these, 11 are wearing hockey shirts and 14 are wearing hockey pants. There are no boys without shirts and/or pants. What is the number of boys wearing full uniform?
Correct Answer: Option C
Explanation
1. First, look at the Total number of boys, which is 19.\n2. Next, count the total items being worn: 11 boys have shirts and 14 boys have pants.\n3. Add these together: 11 + 14 = 25 items.\n4. We know from the question ('no boys without...') that everyone is wearing at least one item, so the group is closed [42].\n5. Compare the number of items (25) to the number of boys (19). There are 6 more items than there are boys.\n6. This 'excess' of 6 means that 6 boys must be wearing the second item (pants) in addition to the first (shirt) to account for the total count. This is the concept of 'Double Counting' or Intersection [61, 18].\n7. Therefore, 6 boys are wearing both, which constitutes a 'full uniform'.
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