There are 30 men and 40 women in the Town Library Club.  They wish to form a 7-person steering committee with 3 men and 4 women.  In how many ways can they form the committee?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
There are 30 men and 40 women in the Town Library Club.  They wish to form a 7-person steering committee with 3 men and 4 women.  In how many ways can they form the committee?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
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There are 30 men and 40 women in the Town Library Club.  They wish to form a 7-person steering committee with 3 men and 4 women.  In how many ways can they form the committee?
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