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### #1

Posted 08 March 2008 - 01:20 AM

The results were as follows:

104 students said “yes,” they like math the most.

86 students said “yes,” they like science the most.

60 students said “yes,” they like social studies the most.

How many students tell the truth, and how many do not?

### #2

Posted 08 March 2008 - 01:57 AM

Hmmmm ... I could be wrong, but my gut tells me that you would have to know the distribution of the favorites among the students. If every student liked math, the results would be different than if every student liked science. Right?A school has 200 students. These are special students, some of them ALWAYS tell the truth, and the rest of them NEVER tell the truth. Among the subject areas of math, science, and social studies, each student has one favorite. A survey was conducted, each student was asked three yes or no questions: “Do you like math the most?” “Do you like science the most?” “Do you like social studies the most?”

The results were as follows:

104 students said “yes,” they like math the most.

86 students said “yes,” they like science the most.

60 students said “yes,” they like social studies the most.

How many students tell the truth, and how many do not?

### #3

Posted 08 March 2008 - 02:02 AM

Hmmmm ... I could be wrong, but my gut tells me that you would have to know the distribution of the favorites among the students. If every student liked math, the results would be different than if every student liked science. Right?

In this problem you don't need to.

### #4

Posted 08 March 2008 - 03:04 AM

In this problem you don't need to.

### #5

Posted 08 March 2008 - 03:08 AM

### #6

Posted 08 March 2008 - 08:02 AM

### #7

Posted 08 March 2008 - 01:22 PM

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