In a class of 60 students 30 students play harmonium and 40 students play guitar. How many students play both the instruments?

Asked by Topperlearning User | 17th Apr, 2014, 11:47: AM

Expert Answer:

Let H denote the set of students who play harmonium and G be the set of students who play guitar. So, we have


n open parentheses H union G close parentheses space equals space n open parentheses H close parentheses space plus space n open parentheses G close parentheses space minus space n open parentheses H intersection G close parentheses

rightwards double arrow 60 space equals space 30 space plus space 40 space minus space n open parentheses H intersection G close parentheses

rightwards double arrow space n open parentheses H intersection G close parentheses space equals space 10

Answered by  | 17th Apr, 2014, 01:47: PM

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