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Giải bài 8.25 trang 59 SBT toán 10 - Kết nối tri thức

Có 3 cặp vợ chồng mua 6 vé xem phim với các chỗ ngồi liên tiếp nhau trên cùng một hàng ghế. Số cách xếp chỗ ngồi sao cho mỗi cặp vợ chồng đều ngồi cạnh nhau là A. 24

▨Tổng hợp đề thi học kì 2 lớp 10 tất cả các môn - Kết nối tri thức

Toán - Văn - Anh - Lí - Hóa - Sinh - Sử - Địa...
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Đề bài

Có 3 cặp vợ chồng mua 6 vé xem phim với các chỗ ngồi liên tiếp nhau trên cùng một hàng ghế. Số cách xếp chỗ ngồi sao cho mỗi cặp vợ chồng đều ngồi cạnh nhau là A. 24 B. 36 C. 48 D. 120

Phương pháp giải - Xem chi tiết

 Áp dụng công thức hoán vị và quy tắc nhân.

Lời giải chi tiết

Xét 1 cặp vợ chồng là 1 nhóm. Số cách xếp 3 nhóm vào 3 vị trí là:                3!= 6 cách Với mỗi cách xếp như trên mỗi cặp vợ chồng có thể đổi chỗ cho nhau để tạo ra cách xếp mới. Tổng số cách xếp chỗ theo yêu cầu đề bài là:              6. 2. 2. 2= 48 cáchChọn C.

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Ph/hs Tham Gia Nhóm Để Cập Nhật Điểm Thi, Điểm Chuẩn Miễn Phí

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