<|im_start|>system
You are a helpful assistant. You first think about the reasoning process in the mind and then provide the user with the answer. You should try to truely solve the question by yourself without cheating.  <|im_end|>
<|im_start|>user
 
In the "24-point game," players draw 4 cards from a deck of 52 cards (excluding jokers) and use the numbers on these cards (A=1, J=11, Q=12, K=13) with the operations of addition, subtraction, multiplication, and division to obtain 24. The first to find a valid solution wins. All 4 cards must be used exactly once.

Wang Liang drew the cards $8, 8, 7, 1$ and noticed that $8 + 8 + 7 + 1 = 24$. Cards that can be summed directly to 24 are called "friendly sets." How many different "friendly sets" contain a maximum card value of 8? Show your work in <think> </think> tags. And return the final answer in <answer> </answer> tags.<|im_end|>
<|im_start|>assistant
Let me solve this step by step.
<think>
user
8

In the "24-point game," players draw 4 cards from a deck of 52 cards (excluding jokers) and use the numbers on these cards (A=1, J=11, Q=12, K=13) with the operations of addition, subtraction, multiplication, and division to obtain 24. The first to find a valid solution wins. All 4 cards must be used exactly once.

Wang Liang drew the cards $8, 8, 7, 1$ and noticed that $8 + 8 + 7 + 1 = 24$. Cards that can be summed directly to 24 are called "friendly sets." How many different "friendly sets" contain a maximum card value of 8?
test