How many primes are in the row of Pascal's Triangle that starts with a $1$ followed by a $6$?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many primes are in the row of Pascal's Triangle that starts with a $1$ followed by a $6$?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

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How many primes are in the row of Pascal's Triangle that starts with a $1$ followed by a $6$?
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