How many ways are there to answer a $10$-question true/false test, where at least $3$ of the questions have been answered with a false?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
How many ways are there to answer a $10$-question true/false test, where at least $3$ of the questions have been answered with a false?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
968
How many ways are there to answer a $10$-question true/false test, where at least $3$ of the questions have been answered with a false?
train