A particular committee needs one $7^{\mathrm{th}}$-grader and three $8^{\mathrm{th}}$-graders. If there are four $7^{\mathrm{th}}$-graders and six $8^{\mathrm{th}}$-graders applying to the committee, in how many ways can the committee be filled?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
A particular committee needs one $7^{\mathrm{th}}$-grader and three $8^{\mathrm{th}}$-graders. If there are four $7^{\mathrm{th}}$-graders and six $8^{\mathrm{th}}$-graders applying to the committee, in how many ways can the committee be filled?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
80
A particular committee needs one $7^{\mathrm{th}}$-grader and three $8^{\mathrm{th}}$-graders. If there are four $7^{\mathrm{th}}$-graders and six $8^{\mathrm{th}}$-graders applying to the committee, in how many ways can the committee be filled?
train