{"common":{"save":0,"post_id":"6713","level":3,"total":10,"point":10,"point_extra":0},"segment":[{"id":"7366","mon_id":"1158767","chapter_id":"1158893","post_id":"6713","question":"<p>Có bao nhiêu cách c\u1eafm 3 bông hoa khác nhau vào 5 l\u1ecd khác nhau (m\u1ed7i l\u1ecd c\u1eafm không quá m\u1ed9t bông)?<\/p>","options":["<strong>A.<\/strong> 60","<strong>B.<\/strong> 10","<strong>C.<\/strong> 15","<strong>D.<\/strong> 720"],"correct":"1","level":"3","hint":"","answer":"<p>S\u1ed1 cách c\u1eafm 3 bông hoa khác nhau vào 5 l\u1ecd khác nhau, mà m\u1ed7i l\u1ecd c\u1eafm không quá m\u1ed9t bông, là m\u1ed9t ch\u1ec9nh h\u1ee3p ch\u1eadp 3 c\u1ee7a 5 ph\u1ea7n t\u1eed. Suy ra có <span class=\"math-tex\">$A^3_5=60$<\/span> cách.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"><strong>A.<\/strong> 60.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-09-27 01:39:15","option_type":"txt","len":0},{"id":"7367","mon_id":"1158767","chapter_id":"1158893","post_id":"6713","question":"<p>Trong m\u1eb7t ph\u1eb3ng, cho m\u1ed9t t\u1eadp h\u1ee3p g\u1ed3m 6 \u0111i\u1ec3m phân bi\u1ec7t. Có bao nhiêu vector khác vector <span class=\"math-tex\">$\\overrightarrow{0}$<\/span> có \u0111i\u1ec3m \u0111\u1ea7u và \u0111i\u1ec3m cu\u1ed1i thu\u1ed9c t\u1eadp h\u1ee3p \u0111i\u1ec3m này?<\/p>","options":["<strong>A.<\/strong> 15","<strong>B.<\/strong> 12","<strong>C.<\/strong> 1440","<strong>D.<\/strong> 30"],"correct":"4","level":"3","hint":"","answer":"<p>M\u1ed7i c\u1eb7p s\u1eafp th\u1ee9 t\u1ef1 g\u1ed3m hai \u0111i\u1ec3m A, B cho ta m\u1ed9t vector có \u0111i\u1ec3m \u0111\u1ea7u A và \u0111i\u1ec3m cu\u1ed1i B và ng\u01b0\u1ee3c l\u1ea1i.<\/p><p>Nh\u01b0 v\u1eady, m\u1ed7i vector có th\u1ec3 xem là m\u1ed9t ch\u1ec9nh h\u1ee3p ch\u1eadp 2 c\u1ee7a t\u1eadp h\u1ee3p 6 \u0111i\u1ec3m \u0111ã cho.<\/p><p>Suy ra có <span class=\"math-tex\">$A^2_6=30$<\/span> cách.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"> <strong>D.<\/strong> 30.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-09-27 01:44:20","option_type":"txt","len":0},{"id":"7368","mon_id":"1158767","chapter_id":"1158893","post_id":"6713","question":"<p>Gi\u1ea3 s\u1eed có 8 v\u1eadn \u0111\u1ed9ng viên tham gia ch\u1ea1y thi. N\u1ebfu không k\u1ec3 tr\u01b0\u1eddng h\u1ee3p có hai v\u1eadn \u0111\u1ed9ng viên v\u1ec1 \u0111ích cùng lúc thì có bao nhiêu k\u1ebft qu\u1ea3 có th\u1ec3 x\u1ea3y ra v\u1edbi các v\u1ecb trí nh\u1ea5t, nhì, ba?<\/p>","options":["<strong>A.<\/strong> 336","<strong>B.<\/strong> 56","<strong>C.<\/strong> 24","<strong>D.<\/strong> 120"],"correct":"1","level":"3","hint":"","answer":"<p>S\u1ed1 k\u1ebft qu\u1ea3 có th\u1ec3 x\u1ea3y ra \u0111\u1ed1i v\u1edbi các v\u1ecb trí nh\u1ea5t, nhì, ba là s\u1ed1 các ch\u1ec9nh h\u1ee3p ch\u1eadp 3 c\u1ee7a 8 ph\u1ea7n t\u1eed.<\/p><p>V\u1eady có <span class=\"math-tex\">$A^3_6$<\/span> = 336 cách.<\/p><p>Ch\u1ecdn <span style=\"color:#16a085;\"> <strong>A.<\/strong> 336.<\/span><\/p>","type":"choose","extra_type":"classic","user_id":"131","test":"0","date":"2023-09-27 01:47:26","option_type":"txt","len":0}]}