Để chuẩn bị cho các tiết mục văn nghệ, lớp 10B cử ra 12 bạn tham gia tiết mục múa và 7 bạn vào tiết mục hát. Biết rằng có 3 bạn tham gia cả hai tiết mục và 22 bạn không tham gia văn nghệ. Số học sinh lớp 10B là?
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Gọi A là tập hợp các học sinh tham gia tiết mục múa.
B là là tập hợp các học sinh tham gia tiết mục hát.
Suy ra : \(A \cup B\) là tập hợp các học sinh tham gia văn nghệ.
\(A \cap B\) là tập hợp các học sinh tham gia cả hai tiết mục.
Ta có : \(n(A) = 12;n(B) = 7;n(A \cap B) = 3\)
\( \Rightarrow \) Số học sinh tham gia văn nghệ là : \(n(A \cup B) = n(A) + n(B) - n(A \cap B) = 12 + 7 - 3 = 16\) (học sinh)
Số học sinh lớp 10B (gồm học sinh tham gia văn nghệ và các học sinh không tham gia văn nghệ) là : \(16 + 22 = 38\) (học sinh)
Chọn B.
Bộ Đề Kiểm Tra Giữa Học Kì I - Toán 10 - (Năm 2023 - 2024) - Các Trường THPT Trên Toàn Quốc là tài liệu giúp học sinh hệ thống lại các kiến thức đã học thông qua các câu hỏi ngắn gọn và súc tích. Các bài tập được thiết kế phù hợp với nhiều đối tượng học sinh, từ cơ bản đến nâng cao.
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