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Giải mục 1 trang 66, 67 SGK Toán 10 tập 2 - Kết nối tri thức

Một nhóm gồm bốn bạn Hà, Mai, Nam, Đạt xếp thành một hàng, từ trái sang phải, để tham gia một cuộc phỏng vấn.

🐬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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HĐ1

Một nhóm gồm bốn bạn Hà, Mai, Nam, Đạt xếp thành một hàng, từ trái sang phải, để tham gia một cuộc phỏng vấn. a) Hãy liệt kê ba cách sắp xếp bốn bạn trên theo thứ tự. b) Có bao nhiêu cách sắp xếp thứ tự bốn bạn trên để tham gia phỏng vấn?

Lời giải chi tiết:

a)     Ba cách sắp xếp bốn bạn trên theo thứ tự -  Hà, Mai, Nam, Đạt. -  Hà, Mai, Đạt, Nam - Hà, Đạt, Mai, Nam   Chú ý: Có thể chọn các cách xếp khác, không nhất thiết phải giống trên. b)    Ta thực hiện các bước: - Chọn bạn đứng đầu có 4 cách - Chọn bạn đứng thứ hai có 3 cách - Chọn bạn đứng thứ ba có 2 cách - Chọn bạn đứng cuối có 1 cách Vậy có 4.3.2 = 24  cách sắp xếp thứ tự bốn bạn trên để tham gia phỏng vấn.

Luyện tập 1

Trong một cuộc thi điền kinh gồm 6 vận động viên chạy trên 6 đường chạy. Hỏi có bao nhiêu cách xếp các vận động viên vào các đường chạy đó?

Phương pháp giải:

Số các hoán vị của tập hợp có n phần tử là n!

Lời giải chi tiết:

Số cách sắp xếp 6 vận động viên vào 6 đường chạy là số hoán vị của 6 phần tử. => Số cách xếp các vận động viên vào các đường chạy đó là:   6!= 720 cách

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