A teacher has made ten statements for a True-False test. Four statements are true and six are false. How many distinct answer keys could there be for the test?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A teacher has made ten statements for a True-False test. Four statements are true and six are false. How many distinct answer keys could there be for the test?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
210\text{ ways}
A teacher has made ten statements for a True-False test. Four statements are true and six are false. How many distinct answer keys could there be for the test?
train