00:01
Hi, we can solve this problem using the venn diagram method.
00:04
So i have already drawn a diagram here.
00:08
This is for the subject math, and this is for biology, and this is for c.
00:15
Our chemistry.
00:16
We are given with the fact that the number of students who fail the math is 12.
00:21
Biology, we have five students who failed.
00:25
Chemistry, we have eight students who failed, and there are two students who failed both math and biology, that is two.
00:33
And math and chemistry, there are six students who failed both subjects and biology and chemistry.
00:42
There are three students who failed.
00:44
And there is one student who failed all subjects.
00:49
So we have one here.
00:51
And what do we need to find? we need to find the number of students who passed.
01:02
So we will note that as x.
01:06
So let's fill in our diagram now.
01:09
Let's start with this one, mbc.
01:12
So mbc, this intersection right here, is mbc.
01:19
So right here, one.
01:22
And then we also know that this one right here is mb.
01:29
But we already have one here.
01:31
So mb2 should be deducted with 1 because we have already written down mvcs1.
01:39
So that would be 1 here.
01:42
Now for this intersection, we have mc.
01:49
Mc here, we have 6, but we already have 1.
01:53
So we'll just deduct 1 from 6 and we will be left with 5...