Prabhjeet a fan of poker, wants to play poker every night for the maximum number of nights possible. The key constraint for him is that he has only 8 friends who are willing to play with him and he wants to hold poker games with distinct groups of friends. His mother has put the condition that in case the same group is repeated on any day, she would stop his poker games and make him study - something that he should be doing anyway. Being a mathematically - oriented person, Prabhjeet calculates the maximum number of nights on which he can play poker without violating his mother's condition. What is the value that he has calculated?
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