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J

javiernguyen0211

[TẶNG BẠN] TRỌN BỘ Bí kíp học tốt 08 môn
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-Đề: Có 10 viên bi đỏ, bán kính khác nhau. Có 5 viên bi xanh, bán kính khác nhau và 3 viên bi vàng, bán kính khác nhau. Hoỉ có bao nhiêu cách chọn ra 9 viên bi có đủ 3 màu.
-Mình giải là:
Ta chọn ra 3 viên bi có đủ 3 màu trước => có 10x5x3=150 cách chọn.
Sau đó ta lâys ra 6 viên từ 15 viên còn lại => Có C(6-15) = 5005 cách chọn
Vậy có 150x5005 = 750750
Nhưng đáp án là 42910. Xin hỏi mình bị sai ở bước naò
 
C

chopinn

Mình cũng tính ra là 750750 mà
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V

Viopiecevop

Knockers Placard Image

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V

Viopiecevop

Knockers Broadside Correspondence

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C

conga222222

-Đề: Có 10 viên bi đỏ, bán kính khác nhau. Có 5 viên bi xanh, bán kính khác nhau và 3 viên bi vàng, bán kính khác nhau. Hoỉ có bao nhiêu cách chọn ra 9 viên bi có đủ 3 màu.
-Mình giải là:
Ta chọn ra 3 viên bi có đủ 3 màu trước => có 10x5x3=150 cách chọn.
Sau đó ta lâys ra 6 viên từ 15 viên còn lại => Có C(6-15) = 5005 cách chọn
Vậy có 150x5005 = 750750
Nhưng đáp án là 42910. Xin hỏi mình bị sai ở bước naò

chọn như thế này là thừa vì nếu trong 6 viên chọn sau mà có đủ 3 màu rồi thì không cần thiết 3 viên trước phải đủ ba màu
trong 18 viên bi này thì có 18C9 cách chọn ra 9 viên bi khác nhau ( không yêu cầu là phải cùng màu hay khác màu)
có 10C9 cách chọn cả 9 viên cùng 1 màu
nếu trong 9 viên này có hai màu thì có thể là đỏ và xanh hoặc đỏ và vàng
có 15C9-10C9 cách chọn ra 9 viên bi có hai màu xanh và đỏ
có 13C9-10C9 cách chọn ra 9 viên bi đỏ và vàng
--> có 15C9+13C9-2*10C9 cách chọn ra 9 viên bi có hai màu khác nhau
--> trong 18 viên bi này có 18C9-10C9-(15C9+13C9-2*10C9) cách chọn ra 9 viên bi trong đó có 3 màu khác nhau
 
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