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Solving the Problem of Pupils' Preferences for Basketball and Netball

In a class of 42 pupils, 25 enjoy basketball, and 10 are fans of netball. Notably, 4 pupils appreciate both sports. To determine how many pupils dislike both basketball and netball, we can use the principle of inclusion-exclusion. By calculating the number of pupils who like at least one of the sports, we can find out how many are not interested in either. Engaging with this problem enhances understanding of set theory and logical reasoning, making it a valuable exercise for students.

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Solving the Problem of Pupils' Preferences for Basketball and Netball

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  1. Word problem: In a class of 42 pupils, 25pupils like basketball while 10 likes netball. 4 pupils like both netball and basketball. How many pupils dislike both basketball and netball? Likes both Likes basketball Likes netball 10 25 4

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