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A team of 3 students is to be formed from a class of 25 students. How many ways are there to form this team if there is 1 team leader, 1 scribe and 1 timekeeper in the team and each person can only perform one role at a time?
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\[25\times 24\times 23\]
May i know how did you get it?
called "counting principle" if there are n ways to do one thing and n to do the other then there are \[m\times n\] ways to do them both
so reason as follows. you have 25 choices for "team leader". once team leader is chosen you then have 24 choices for "scribe" (who writes this stuff?) so far 25*24 and once they are chosen you have 23 ways to pick timekeeper. so answer is as i wrote above
oh thanks :)
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