Tài liệu Chuyên đề hoán vị, tổ hợp,chỉnh hợp, nhị thức bồi dưỡng học sinh giỏi toán 8. Phân loại: Phổ thông > Toán > Lớp 8. Chủ đề: Toán, Toán 8. Có bản xem trước trang đầu dạng HTML và PDF để tham khảo nội dung.

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.document-html-preview--word div.Section0{page:Section0;}</style><div class="document-html-preview__page document-html-preview__page--word" data-page="1">CHUY&#202;N &#272;&#7872; HO&#193;N V&#7882;, T&#7892; H&#7906;P,CH&#7880;NH H&#7906;P, NH&#7882; TH&#7912;C<o:p></o:p>CHUY&#202;N &#272;&#7872; 2: HO&#193;N V&#7882;, T&#7892; H&#7906;P<o:p></o:p>A. KI&#7870;N TH&#7912;C:<o:p></o:p>I. Ch&#7881;nh h&#7907;p:<o:p></o:p>1. &#273;&#7883;nh ngh&#297;a: Cho m&#7897;t t&#7853;p h&#7907;p X g&#7891;m n ph&#7847;n t&#7917;. M&#7895;i c&#225;ch s&#7855;p x&#7871;p k ph&#7847;n t&#7917; c&#7911;a t&#7853;p h&#7907;p X ( 1 <img width="13" height="16" src="https://daythem.com/public/s3/user.document/user-system-generate/toan/lop-8/5ba489c836963c/html-preview-assets/5d3e46c57daaa46f1a69.png" >&nbsp;k <img width="13" height="16" src="https://daythem.com/public/s3/user.document/user-system-generate/toan/lop-8/5ba489c836963c/html-preview-assets/5d3e46c57daaa46f1a69.png" >&nbsp;n) theo m&#7897;t th&#7913; t&#7921; nh&#7845;t &#273;&#7883;nh g&#7885;i l&#224; m&#7897;t ch&#7881;nh h&#7907;p ch&#7853;p k c&#7911;a n ph&#7847;n t&#7917; &#7845;y<o:p></o:p>S&#7889; t&#7845;t c&#7843; c&#225;c ch&#7881;nh h&#7907;p ch&#7853;p k c&#7911;a n ph&#7847;n t&#7917; &#273;&#432;&#7907;c k&#237; hi&#7879;u <img width="39" height="29" src="https://daythem.com/public/s3/user.document/user-system-generate/toan/lop-8/5ba489c836963c/html-preview-assets/b396be6834632361d67b.png" ><o:p></o:p>2. T&#237;nh s&#7889; ch&#7881;nh ch&#7853;p k c&#7911;a n ph&#7847;n t&#7917; <o:p></o:p><img width="254" height="43" src="https://daythem.com/public/s3/user.document/user-system-generate/toan/lop-8/5ba489c836963c/html-preview-assets/292857e0ae30fd2b04d8.png" align="left" hspace="12" >&nbsp;<o:p></o:p><o:p>&nbsp;</o:p><o:p>&nbsp;</o:p>II. Ho&#225;n v&#7883;:<o:p></o:p>1. &#272;&#7883;nh ngh&#297;a: Cho m&#7897;t t&#7853;p h&#7907;p X g&#7891;m n ph&#7847;n t&#7917;. M&#7895;i c&#225;ch s&#7855;p x&#7871;p n ph&#7847;n t&#7917; c&#7911;a t&#7853;p h&#7907;p X theo m&#7897;t th&#7913; t&#7921; nh&#7845;t &#273;&#7883;nh g&#7885;i l&#224; m&#7897;t ho&#225;n v&#7883; c&#7911;a n ph&#7847;n t&#7917; &#7845;y<o:p></o:p>S&#7889; t&#7845;t c&#7843; c&#225;c ho&#225;n v&#7883; &nbsp;c&#7911;a n ph&#7847;n t&#7917; &#273;&#432;&#7907;c k&#237; hi&#7879;u Pn<o:p></o:p><img width="271" height="49" src="https://daythem.com/public/s3/user.document/user-system-generate/toan/lop-8/5ba489c836963c/html-preview-assets/2e62f1cacec35d54e7cb.png" align="left" hspace="12" >2. T&#237;nh s&#7889; ho&#225;n v&#7883; c&#7911;a n ph&#7847;n t&#7917; &nbsp;&nbsp;<o:p></o:p>( n! : n giai th&#7915;a)<o:p></o:p>III. T&#7893; h&#7907;p:<o:p></o:p>1. &#272;&#7883;nh ngh&#297;a: Cho m&#7897;t t&#7853;p h&#7907;p X g&#7891;m n ph&#7847;n t&#7917;. M&#7895;i t&#7853;p con c&#7911;a X g&#7891;m k ph&#7847;n t&#7917; &nbsp;trong n ph&#7847;n t&#7917; c&#7911;a t&#7853;p h&#7907;p X ( 0 <img width="13" height="16" src="https://daythem.com/public/s3/user.document/user-system-generate/toan/lop-8/5ba489c836963c/html-preview-assets/5d3e46c57daaa46f1a69.png" >&nbsp;k <img width="13" height="16" src="https://daythem.com/public/s3/user.document/user-system-generate/toan/lop-8/5ba489c836963c/html-preview-assets/5d3e46c57daaa46f1a69.png" >&nbsp;n) g&#7885;i l&#224; m&#7897;t t&#7893; h&#7907;p ch&#7853;p k c&#7911;a n ph&#7847;n t&#7917; &#7845;y<o:p></o:p>S&#7889; t&#7845;t c&#7843; c&#225;c t&#7893; h&#7907;p ch&#7853;p k c&#7911;a n ph&#7847;n t&#7917; &#273;&#432;&#7907;c k&#237; hi&#7879;u <img width="36" height="29" src="https://daythem.com/public/s3/user.document/user-system-generate/toan/lop-8/5ba489c836963c/html-preview-assets/d6525ad2477727a8d5be.png" ><o:p></o:p>2. T&#237;nh s&#7889; t&#7893; h&#7907;p ch&#7853;p k c&#7911;a n ph&#7847;n t&#7917; <o:p></o:p><img width="338" height="49" src="https://daythem.com/public/s3/user.document/user-system-generate/toan/lop-8/5ba489c836963c/html-preview-assets/4950f514e5a280b80248.png" align="left" hspace="12" >&nbsp;&nbsp;&nbsp;&nbsp;&nbsp;<o:p></o:p><o:p>&nbsp;</o:p><o:p>&nbsp;</o:p>B. V&#237; d&#7909;:<o:p></o:p>1. V&#237; d&#7909; 1:<o:p></o:p>Cho 5 ch&#7919; s&#7889;: 1, 2, 3, 4, 5<o:p></o:p>a) c&#243; bao nhi&#234;u s&#7889; t&#7921; nhi&#234;n c&#243; ba ch&#7919; s&#7889;, c&#225;c ch&#7919; s&#7889; kh&#225;c nhau, l&#7853;p b&#7903;i ba trong c&#225;c ch&#7919; s&#7889; tr&#234;n<o:p></o:p>b) C&#243; bao nhi&#234;u s&#7889; t&#7921; nhi&#234;n c&#243; 5 ch&#7919; s&#7889;, c&#225;c ch&#7919; s&#7889; kh&#225;c nhau, l&#7853;p b&#7903;i c&#7843; 5 ch&#7919; s&#7889; tr&#234;n<o:p></o:p></div></section>

Chuyên đề hoán vị, tổ hợp,chỉnh hợp, nhị thức bồi dưỡng học sinh giỏi toán 8

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