In a survey of 300 students, the following data were...

In a survey of 300 students, the following data were obtained: * 64 students had taken a mathematics course * 94 students had taken an English course * 58 students had taken a computer course * 28 students had taken both a mathematics and a computer course * 26 students had taken both an English and a mathematics course * 22 students had taken both an English and a computer course * 14 students had taken all three types of courses Of the students surveyed, how many had taken only a computer course? Draw the diagram Venn!

Transcript

00:01 In this question, there is a survey of 300 students and the following data was obtained.

00:06 So, 64 students has taken mathematics, 94 english, 58 computer science.

00:12 28, both mathematics has taken both mathematics and computer.

00:19 And 26 has taken both english and mathematics and 22 has taken both english and computer.

00:27 14 students took all three types.

00:29 So out of the students surveyed how many took only computer code.

00:33 So draw and bend diagram.

00:34 Definitely.

00:35 There's a classic case of bend diagram.

00:37 So let me draw a rectangle over here because we start with a rectangle.

00:46 This is the universe which contains all the students which are 300.

00:51 Now there are three circles definitely.

00:58 Let this represents math.

00:59 Let this represents english and c represents computer science.

01:02 We'll start reverse because 14 students took all three.

01:05 Courses it means that 14 is over here or 22 students took english and computer science so english and computer science is over here and 22 students took that so 22 and 14 is already here so definitely 22 minus 14 which gives us the value as 8 must be here likewise 26 took computer science 26 took english and mathematics so english and mathematics is over here.

01:39 This is 26.

01:40 So clearly, 26 minus 14, 26 minus 14, which is 12, should be this one...

Question

Please give Ace some feedback