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In a multi-voting system, voters can vote for more than one candidate. Two candidates A and B are contesting the election. 100 voters voted for A. Fifty out of 250 voters voted for both candidates. If each voter voted for at least one of the two candidates, then how many candidates voted only for B?


If 100 voted for A, then the rest of the people, 150 people, must have only voted for B (since we know they voted for somebody). That 50 people voted for both candidates is irrelevant to the question.

the information in the problem is vague, it doesn't state 100 voters voted only for A. it MUST had it mentioned
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the information in the problem is vague, it doesn't state 100 voters voted only for A.

You're right - if the question meant to say that 100 voters voted only for A, the question would need to make that very clear. But that's not what the question means (or that's not what I think it means - I didn't write the question). It means what it says -- that 100 voters voted for A. Some of those 100 voters voted only for A, and some of them voted for both A and B. The remaining 150 voters must have then voted only for B, because we know they voted for at least one of the two candidates, and they didn't vote for A.
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