00:01
Okay, so we have a survey of some university students, and they found out that 64 students had taken math, 94 had taken chemistry, and we had 54, had taken physics.
00:40
Okay, so we also know, though, that of those students, 32, two took math and physics.
00:55
They also took 26, took both math and chemistry, and then 26 took chemistry and physics.
01:14
And then 10 students hadn't taken any, or excuse me, had taken all three.
01:26
Okay, so we're going to draw a venn diagram and we're going to figure this all out.
01:35
So this is my math circle, circle.
01:42
This is my chemistry circle, and here's my physics circle.
01:51
Now, they said that 10 took all three, so we're going to put 10 in the middle.
01:56
26 took chemistry and physics.
02:00
So that's going to be 26 minus 10, which gives us a total of 16.
02:13
26 took math and chemistry, so this is going to be 26 minus 10, which also gives us a total of 16.
02:26
Then we had 32 that took math and physics, so we have 32 minus 10, which gives us 22.
02:39
Okay, now to find the others, if we had 64 that took math, we're going to take the 64, and we're going to say, subtract the 16, subtract the 10, and subtract the 22.
02:58
That's going to give us a total of, gives us a total of 16.
03:11
Okay, over on the chemistry side, we're going to take 94, we'll subtract 16, subtract 10, and subtract the other 16.
03:24
And the reason we're doing this is we don't want to repeat any of these.
03:30
So we're trying to find out the ones that just took chemistry...