A group of 2395 students were surveyed about the courses...

A group of 2395 students were surveyed about the courses they were taking at their college with the following results: 1338 students said they were taking Psychology. 1246 students said they were taking Math. 1147 students said they were taking History. 732 students said they were taking Math and Psychology. 582 students said they were taking Math and History. 624 students said they were taking Psychology and History. 364 students said they were taking all three courses. e) How many students took none of the courses?

Transcript

00:01 Okay, so to answer this question, we're going to be using a venn diagram to explain this.

00:08 So based on your question, based on the information given to us, so all the students that were surveyed that i spoke to is 20395.

00:20 So let's go.

00:22 Let's check our information.

00:24 So you can see psychology students taking psychology altogether is 1 ,00033.

00:30 So for math it's 1 ,246 for history, it's 1 ,00147 so that's good.

00:45 And you see all these numbers right here, the one for this is saying 732 students who are thinking math and psychology.

00:59 We're going to kind of skip this for now.

01:02 I will skip this for now i will skip this for now but i'm going to jump to this number right here it's saying what 364 are taking all three courses so that's where i will start from you always want to start from the from the one taking all the three classes so it's going to be three six four that's where it goes now now let's go back to this 732.

01:41 Now, this one is saying 732 were taking math and psychology.

01:50 So let me show you something.

01:53 732 were taking math and psychology.

01:59 So technically, you see that 732 belongs to women.

02:05 I just shaded right now 732 belongs to everything in that section but remember a portion of that it's 736 so you have to say 732 minus 364 732 minus 364 if you go to your calculator 732 732 minus 364 gives you 368 so 368 goes there so 368 are taking just psychology and math but 368 plus 364 we add up to 732 i hope you understand what i just did so now let's go to the next one 582 we're taking math and history 582 math and history math and history it's pretty much this section here that should add up to 582 is math and what history so you have to say 582 minus 364 582 minus 364 clear 582 minus 364 that will give you to 18 218 now let's go to psychology and history so psychology and history now which is this section psychology and history is that section and psychology and history it's six 24 so you have to say 624 minus 364 624 minus 364 624 minus 364 624 minus 624 that gives you 260 goes here...

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