Groups each obtaining 3 boys are to be formed out of 5 boysA, B, C, D and E such that no one group contains both C and D together. What is the maximum number of such different groups?

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Q: 41 (IAS/2007)
Groups each obtaining 3 boys are to be formed out of 5 boys—A, B, C, D and E such that no one group contains both C and D together. What is the maximum number of such different groups?
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question_subject: 

Logic/Reasoning

question_exam: 

IAS

stats: 

0,1,7,1,6,1,0

keywords: 

{'groups': [0, 0, 1, 0], 'maximum number': [1, 0, 1, 2], 'group': [0, 1, 0, 0], 'such different groups': [0, 0, 1, 0], 'boys': [0, 1, 5, 11]}