Hoán vị, chỉnh hợp và tổ hợp

Home Lớp 10 Toán lớp 10 - Sách Kết nối tri thức Bài 24. Hoán vị, chỉnh hợp và tổ hợpBài tập trung bình

{"common":{"save":0,"post_id":"6483","level":2,"total":10,"point":10,"point_extra":0},"segment":[{"id":"6737","mon_id":"1158767","chapter_id":"1158893","post_id":"6483","question":"Có bao nhiêu cách ch\u1ecdn 5 c\u1ea7u th\u1ee7 t\u1eeb 12 c\u1ea7u th\u1ee7 trong m\u1ed9t \u0111\u1ed9i bóng \u0111\u1ec3 th\u1ef1c hi\u1ec7n \u0111á 5 qu\u1ea3 luân l\u01b0u 11m , theo th\u1ee9 t\u1ef1  qu\u1ea3 th\u1ee9 nh\u1ea5t \u0111\u1ebfn qu\u1ea3 th\u1ee9 n\u0103m?<\/p>","options":["A.<\/strong> $A_{12}^5$<\/span>","B.<\/strong> $C_{12}^5$<\/span>","C.<\/strong> $A_{12}^5$<\/span> . 5!","D.<\/strong> $C_{12}^7$<\/span>"],"correct":"1","level":"2","hint":"","answer":"S\u1ed1 cách ch\u1ecdn 5 c\u1ea7u th\u1ee7 t\u1eeb 12 c\u1ea7u th\u1ee7 trong m\u1ed9t \u0111\u1ed9i bóng \u0111\u1ec3 th\u1ef1c hi\u1ec7n \u0111á 5 qu\u1ea3 luân l\u01b0u 11m theo th\u1ee9 t\u1ef1 qu\u1ea3 th\u1ee9 nh\u1ea5t \u0111\u1ebfn qu\u1ea3 th\u1ee9 n\u0103m là s\u1ed1 ch\u1ec9nh h\u1ee3p ch\u1eadp 5 c\u1ee7a 12 ph\u1ea7n t\u1eed nên s\u1ed1 cách ch\u1ecdn là $A_{12}^5$<\/span> .<\/p>\u0110áp án \u0111úng là  A.<\/strong> $A_{12}^5$<\/span> <\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-29 05:03:25","option_type":"math","len":0},{"id":"6738","mon_id":"1158767","chapter_id":"1158893","post_id":"6483","question":"Cho 10 \u0111i\u1ec3m trong \u0111ó không có 3 \u0111i\u1ec3m nào th\u1eb3ng hàng. H\u1ecfi có bao nhiêu tam giác mà ba \u0111\u1ec9nh c\u1ee7a nó \u0111\u01b0\u1ee3c ch\u1ecdn t\u1eeb 10 \u0111i\u1ec3m trên?<\/p>","options":["A.<\/strong> 30","B.<\/strong> 120","C.<\/strong> 720","D.<\/strong> 84"],"correct":"2","level":"2","hint":"","answer":"M\u1ed7i m\u1ed9t tam giác \u0111\u01b0\u1ee3c t\u1ea1o thành là m\u1ed9t t\u1ed5 h\u1ee3p ch\u1eadp 3 c\u1ee7a 10 ph\u1ea7n t\u1eed.<\/p>V\u1eady có $C_{10}^3$<\/span> = 120 tam giác.<\/p>\u0110áp án \u0111úng là   B.<\/strong> 120<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-29 05:05:45","option_type":"txt","len":0},{"id":"6739","mon_id":"1158767","chapter_id":"1158893","post_id":"6483","question":"M\u1ed9t h\u1ed9p \u0111\u1ef1ng hai qu\u1ea3 c\u1ea7u màu vàng và b\u1ed1n qu\u1ea3 c\u1ea7u màu \u0111\u1ecf. Có bao nhiêu cách l\u1ea5y ra hai qu\u1ea3 c\u1ea7u trong h\u1ed9p?<\/p>","options":["A.<\/strong> 15","B. <\/strong>30","C.<\/strong> 5","D.<\/strong> 6"],"correct":"1","level":"2","hint":"","answer":"M\u1ed7i cách l\u1ea5y ra hai qu\u1ea3 c\u1ea7u trong h\u1ed9p là m\u1ed9t t\u1ed5 h\u1ee3p ch\u1eadp 2 c\u1ee7a 6 ph\u1ea7n t\u1eed. S\u1ed1 cách l\u1ea5y ra hai qu\u1ea3 c\u1ea7u là $C_{6}^2$<\/span> = 15 cách.<\/p>\u0110áp án \u0111úng là   A.<\/strong> 15<\/span>.<\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-05-29 05:08:54","option_type":"txt","len":0}]}