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To solve this, we can use the principle of inclusion-exclusion. Let ( A ) be the set of students who speak Hausa, ( B ) those who speak Igbo, and ( C ) those who speak Yoruba. We know ( |A| = 24 ), ( |B| = 15 ), ( |C| = 21 ), ( |A \cap B| = 8 ), ( |A \cap C| = 11 ), and ( |A \cap B \cap C| = 6 ). We can calculate the total number of students who speak at least one language, ensuring it sums to 40, and determine how many speak only Yoruba or combinations of the languages.

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11h ago

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