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There are 20 students on the school's student council. A special homecoming dance committee is to be formed by randomly selecting 6 students from student council. How many possible committees can be formed?
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The number of combinations of 20 students selected 6 at a time is: \[\large C(20, 6)=\frac{20!}{6!14!}=\frac{20\times19\times18\times17\times16\times15}{6\times5\times4\times3\times2\times1}=you\ can\ calculate\]
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