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In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Find the number of students who had taken both Physics and Chemistry but not Mathematics.

In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Find the number of students who had taken both Physics and Chemistry but not Mathematics. Correct Answer 1

The Venn diagram is given below:-

[ alt="F1 Shraddha Prashant 08.02.2022 D3" src="//storage.googleapis.com/tb-img/production/22/02/F1_Shraddha_Prashant_08.02.2022_D3.png" style="width: 190px; height: 204px;">

The number of students who had taken both Physics and Chemistry but not Mathematics = 4 - 3 = 1

Hence, "option 2" is the correct answer.

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