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That depends. Are all the positions equal, will they all just be members of the committee or will there be a chairman, vice-chairman, secretary, treasurer, etc.?

Assuming all are equal positions, then order of selection does not matter, then

(25x24x23x22x21x20)/(6x5x4x3x2x1) = 177,100

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Q: How many ways are there to select six students from a class of twenty five to hold six different executive positions on a committee?
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