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Câu 6 trang 62 SGK Đại số và Giải tích 11 Nâng cao

Giả sử có 8 vận động viên tham gia chạy thi. Nếu không kể trường hợp có hai vận động viên về đích cùng một lúc thì có bao nhiêu kết quả có thể xảy ra đối với các vị trí thứ nhất, thứ nhì và thứ ba ?
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Đề bài

Giả sử có \(8\) vận động viên tham gia chạy thi. Nếu không kể trường hợp có hai vận động viên về đích cùng một lúc thì có bao nhiêu kết quả có thể xảy ra đối với các vị trí thứ nhất, thứ nhì và thứ ba ?

Phương pháp giải - Xem chi tiết

Việc xếp thứ tự nhất nhì ba thực chất là chọn ra 3 trong 8 VĐV và xếp thứ tự cho họ. Do đó mỗi cách chọn và xếp thứ tự này chính là một chỉnh hợp chập 3 của 8.

Lời giải chi tiết

Ba vị trí nhất nhì ba là một chỉnh hợp chập 3 của 8 phần tử nênCó \(A_8^3 = 8.7.6 = 336\) kết quả

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