SOLUTION: 1. Four students are running for class president. How many different ways can they be listed on the ballot?

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Question 740686: 1. Four students are running for class president. How many different ways can they be listed on the ballot?

Found 2 solutions by richwmiller, Ed Parker:
Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
4*3*2=24 ways

Answer by Ed Parker(21)   (Show Source): You can put this solution on YOUR website!
There are 4 ways to pick a candidate to be first on the list.

For every one of those 4 ways to pick a candidate to be in first place, there
are only 3 ways left to pick one to be in second place, so there are 4 times 3
or 12 ways to pick 2 candidates to be in first and second place on the list.

For every one of those 12 ways to pick two candidates to be in first and second
place, there are only 2 ways left to pick one to be in third place, so there
are 12 times 2 or 24 ways to pick 3 candidates to be in first, second and third
places on the list.

Now there is only 1 candidate left to pick to be last.  So that's just 1 way.

So multiplying 24 by 1 still leaves it at 24, because when you pick all but 1,
you have automatically picked the only remaining candidate's popsition because
the one remaining candidate must go in the only remaining slot left on the
list, in this case the 4th or last one.

Answer = 24

Edwin

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