Passed Both Maths & French: 42 Students

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Homework Help Overview

The problem involves a scenario where students are taking two subjects, mathematics and French, with specific pass and fail rates. The original poster seeks to determine how many students passed both subjects based on the provided data.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants discuss the application of the principle of inclusion-exclusion and consider different cases related to the problem. There is mention of using a Venn diagram to visualize the relationships between the groups of students.

Discussion Status

The discussion is actively exploring various methods to approach the problem, including the use of diagrams and mathematical principles. Some participants are suggesting specific values based on their reasoning, but there is no explicit consensus on the final answer yet.

Contextual Notes

The problem is constrained by the specific numbers given for students passing and failing, and the participants are working within these parameters to derive their conclusions.

John O' Meara
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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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What are your ideas so far? Have you heard of the principle of inclusion-exclusion?
 
There are 4 cases. Look at the 4 cases.
 
Draw a Venn diagram ;assume those who passed both to be x ;you should get x = 16.
 

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