Question 390864: In how many ways can a ballot be validly marked if a citizen is to choose one of three candidates for mayor, one of four for city councilwoman, and one of three for district attorney. A citizen is not required to vote for all three positions, but he is expected to vote for at least one.
Found 3 solutions by solver91311, stanbon, sudhanshu_kmr:
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
There are 4 choices for Mayor (including choosing nobody), 5 choices for councilwoman, and 4 choices for DA, so:
But you have to subtract the one disallowed possibility that is counted above, namely not voting for anyone at all.
Final tally: 79.
John
My calculator said it, I believe it, that settles it
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! In how many ways can a ballot be validly marked if a citizen is to choose one of three candidates for mayor, one of four for city councilwoman, and one of three for district attorney. A citizen is not required to vote for all three positions, but he is expected to vote for at least one.
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Ans: 3*4*3 = 36 is the maximum # of ways.
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Cheers,
Stan H.
Answer by sudhanshu_kmr(1152)  (Show Source):
You can put this solution on YOUR website!
A citizen can vote for mayor in 4 ways..( any one of 3 candidates or no one )
similarly, for city councilwoman .........5 ways.
for district attorney........... 4 ways.
total ways = 4*5*4 = 80
but, here there is one way when he didn't vote for any position..
so, subtract 1 from total 80.
total no. of ways =79
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