Pick two or fewer different digits from the set $\{1, 3, 6, 7\}$ and arrange them to form a number.  How many prime numbers can we create in this manner?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Pick two or fewer different digits from the set $\{1, 3, 6, 7\}$ and arrange them to form a number.  How many prime numbers can we create in this manner?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
10
Pick two or fewer different digits from the set $\{1, 3, 6, 7\}$ and arrange them to form a number.  How many prime numbers can we create in this manner?
train