Passed Both Maths & French: 42 Students

Thread starter John O' Meara
Start date Mar 30, 2006
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In an examination with 108 students, 86 passed mathematics and 35 passed French, while 3 failed both subjects. Using the principle of inclusion-exclusion, the calculation reveals that 16 students passed both subjects. A Venn diagram can help visualize the distribution of students across the subjects. The discussion emphasizes the importance of understanding the overlap between the two groups. Ultimately, the solution confirms that 16 students successfully passed both mathematics and French.

Mar 30, 2006

John O' Meara

In an examination 86 students out of 108 pass mathematics, 35 passed
French and 3 failed both subjects. How many passed in both? Thanks guys.

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Mar 30, 2006

nocturnal

What are your ideas so far? Have you heard of the principle of inclusion-exclusion?

Mar 30, 2006

Hurkyl

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There are 4 cases. Look at the 4 cases.

Mar 30, 2006

Mathyards

Draw a Venn diagram ;assume those who passed both to be x ;you should get x = 16.

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