{"id":2486,"date":"2026-05-08T06:22:51","date_gmt":"2026-05-08T06:22:51","guid":{"rendered":"https:\/\/www.protiddhoninews.com\/?p=2486"},"modified":"2026-05-08T06:22:51","modified_gmt":"2026-05-08T06:22:51","slug":"%e0%a6%af%e0%a7%8b%e0%a6%97%e0%a6%ab%e0%a6%b2-%e0%a6%ac%e0%a7%87%e0%a6%b0-%e0%a6%95%e0%a6%b0%e0%a6%be%e0%a6%b0-%e0%a6%9c%e0%a6%be%e0%a6%a6%e0%a7%81%e0%a6%95%e0%a6%b0%e0%a7%80-%e0%a6%b6%e0%a6%b0","status":"publish","type":"post","link":"https:\/\/www.protiddhoninews.com\/?p=2486","title":{"rendered":"\u09af\u09cb\u0997\u09ab\u09b2 \u09ac\u09c7\u09b0 \u0995\u09b0\u09be\u09b0 \u099c\u09be\u09a6\u09c1\u0995\u09b0\u09c0 \u09b6\u09b0\u09cd\u099f\u0995\u09be\u099f"},"content":{"rendered":"<p> <br \/>\n<\/p>\n<div>\n<div>\n<h2><strong>\u09ae\u09cd\u09af\u09be\u099c\u09bf\u0995 \u09ab\u09b0\u09cd\u09ae\u09c1\u09b2\u09be<\/strong><\/h2>\n<p>n-\u09b8\u0982\u0996\u09cd\u09af\u0995 \u09b6\u09c2\u09a8\u09cd\u09af \u09a8\u09df \u098f\u09ae\u09a8 \u0985\u0999\u09cd\u0995 \u09a6\u09bf\u09df\u09c7 \u0997\u09a0\u09bf\u09a4 \u09b8\u09ac \u0995\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09af\u09cb\u0997\u09ab\u09b2 \u09ac\u09c7\u09b0 \u0995\u09b0\u09be\u09b0 \u09a8\u09bf\u09df\u09ae:<\/p>\n<p>\u09e7. \u09af\u09a6\u09bf \u0995\u09cb\u09a8\u09cb \u0985\u0999\u09cd\u0995\u09c7\u09b0 \u09aa\u09c1\u09a8\u09b0\u09be\u09ac\u09c3\u09a4\u09cd\u09a4\u09bf \u09a8\u09be \u0998\u099f\u09c7: (n-1)! \u00d7 (\u0985\u0999\u09cd\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09af\u09cb\u0997\u09ab\u09b2) \u00d7 (\u09e7\u2026n\u09a4\u09ae \u09ac\u09be\u09b0)<\/p>\n<p>\u09e8. \u09af\u09a6\u09bf \u0985\u0999\u09cd\u0995\u09c7\u09b0 \u09aa\u09c1\u09a8\u09b0\u09be\u09ac\u09c3\u09a4\u09cd\u09a4\u09bf \u0995\u09b0\u09be\u09b0 \u09b8\u09c1\u09af\u09cb\u0997 \u09a5\u09be\u0995\u09c7: n<sup>(n-1)<\/sup> \u00d7 (\u0985\u0999\u09cd\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09af\u09cb\u0997\u09ab\u09b2) \u00d7 (\u09e7\u2026n\u09a4\u09ae \u09ac\u09be\u09b0)<\/p>\n<p>\u09b8\u09c2\u09a4\u09cd\u09b0\u099f\u09be \u09ad\u09be\u09b2\u09cb\u09ad\u09be\u09ac\u09c7 \u09ae\u09be\u09a5\u09be\u09b0 \u09ad\u09c7\u09a4\u09b0 \u0997\u09c7\u0981\u09a5\u09c7 \u09a8\u09c7\u0993\u09df\u09be\u09b0 \u099c\u09a8\u09cd\u09af \u09a6\u09c1\u099f\u09bf \u0989\u09a6\u09be\u09b9\u09b0\u09a3 \u09a6\u09c7\u0996\u09c7 \u09a8\u09bf\u0987\u0964 \u09e7, \u09e8, \u09e9 \u098f\u09ac\u0982 \u09ea \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09c7 \u099a\u09be\u09b0 \u0985\u0999\u09cd\u0995\u09c7\u09b0 \u09af\u09a4\u0997\u09c1\u09b2\u09cb \u09b8\u0982\u0996\u09cd\u09af\u09be \u0997\u09a0\u09a8 \u0995\u09b0\u09be \u09af\u09be\u09df, \u09a4\u09be\u09a6\u09c7\u09b0 \u09af\u09cb\u0997\u09ab\u09b2 \u09ac\u09c7\u09b0 \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7\u0964 \u098f \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u0985\u0999\u09cd\u0995\u09c7\u09b0 \u09aa\u09c1\u09a8\u09b0\u09be\u09ac\u09c3\u09a4\u09cd\u09a4\u09bf \u0995\u09b0\u09be \u09af\u09be\u09ac\u09c7\u0964 \u09af\u09c7\u09b9\u09c7\u09a4\u09c1 \u098f\u0996\u09be\u09a8\u09c7 \u098f\u0995\u0987 \u0985\u0999\u09cd\u0995 \u09ac\u09be\u09b0\u09ac\u09be\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09be \u09af\u09be\u09ac\u09c7, \u09a4\u09be\u0987 \u0986\u09ae\u09b0\u09be \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u09b8\u09c2\u09a4\u09cd\u09b0\u099f\u09bf \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09ac\u0964 \u098f\u0996\u09be\u09a8\u09c7 \u0985\u0999\u09cd\u0995 \u0986\u099b\u09c7 \u09ea\u099f\u09bf, \u09a4\u09be\u0987 n = 4\u0964<\/p>\n<p>n<sup>(n-1)<\/sup> \u00d7 (\u0985\u0999\u09cd\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09af\u09cb\u0997\u09ab\u09b2) \u00d7 (\u09e7\u2026n\u09a4\u09ae \u09ac\u09be\u09b0)<\/p>\n<p>= 4<sup>3 <\/sup>\u00d7 (1 + 2 + 3 + 4) \u00d7 (1111)<\/p>\n<p>= 64 \u00d710 \u00d7 1111<\/p>\n<p>= 711040<\/p>\n<p>\u098f\u09ac\u09be\u09b0 \u0986\u09b0\u09c7\u0995\u099f\u09be \u0989\u09a6\u09be\u09b9\u09b0\u09a3 \u09a6\u09c7\u0996\u09be \u09af\u09be\u0995\u0964 \u09e8, \u09e9, \u09ea \u098f\u09ac\u0982 \u09eb \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09c7 \u099a\u09be\u09b0 \u0985\u0999\u09cd\u0995\u09c7\u09b0 \u09af\u09a4\u0997\u09c1\u09b2\u09cb \u09b8\u0982\u0996\u09cd\u09af\u09be \u0997\u09a0\u09a8 \u0995\u09b0\u09be \u09af\u09be\u09df, \u09a4\u09be\u09a6\u09c7\u09b0 \u09af\u09cb\u0997\u09ab\u09b2 \u09ac\u09c7\u09b0 \u0995\u09b0\u09a4\u09c7 \u09b9\u09ac\u09c7\u0964 \u098f \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u0985\u0999\u09cd\u0995\u09c7\u09b0 \u09aa\u09c1\u09a8\u09b0\u09be\u09ac\u09c3\u09a4\u09cd\u09a4\u09bf \u0995\u09b0\u09be \u09af\u09be\u09ac\u09c7 \u09a8\u09be\u0964<\/p>\n<p>\u09af\u09c7\u09b9\u09c7\u09a4\u09c1 \u0995\u09cb\u09a8\u09cb \u0985\u0999\u09cd\u0995 \u09a6\u09c1\u09ac\u09be\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09be \u09af\u09be\u09ac\u09c7 \u09a8\u09be, \u09a4\u09be\u0987 \u0986\u09ae\u09b0\u09be \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u099f\u09bf \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 \u0995\u09b0\u09ac\u0964 \u098f\u0996\u09be\u09a8\u09c7\u0993 n = 4\u0964<\/p>\n<p>(n-1)! \u00d7 (\u0985\u0999\u09cd\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09af\u09cb\u0997\u09ab\u09b2) \u00d7 (\u09e7\u2026n\u09a4\u09ae \u09ac\u09be\u09b0) $$= (4-1)!<\/p>\n<p>= 3! \u00d7 (2 + 3 + 4 + 5) \u00d7 (1111)<\/p>\n<p>= 6 \u00d7 14 \u00d7 1111<\/p>\n<p>= 93324<\/p>\n<p>\u09b8\u09ac\u09b6\u09c7\u09b7\u09c7 \u098f\u0995\u099f\u09bf \u09a7\u09be\u0981\u09a7\u09be\u0964 \u09ac\u09b2\u09a4\u09c7 \u09aa\u09be\u09b0\u09cb, \u098f\u0995\u099c\u09a8 \u09b8\u09be\u09a7\u09be\u09b0\u09a3 \u09ae\u09be\u09a8\u09c1\u09b7\u09c7\u09b0 \u099c\u09c0\u09ac\u09a8\u09c7 \u09ae\u09cb\u099f \u0995\u09df\u099f\u09bf \u099c\u09a8\u09cd\u09ae\u09a6\u09bf\u09a8 \u0986\u09b8\u09c7?<\/p>\n<h4>\u09b8\u09c2\u09a4\u09cd\u09b0: <em>\u09b9\u09be\u0989 \u099f\u09c1 \u09ac\u09bf \u0986 \u09ae\u09cd\u09af\u09be\u09a5 \u09ae\u09cd\u09af\u09be\u099c\u09bf\u09b6\u09bf\u09df\u09be\u09a8<\/em> \u0985\u09ac\u09b2\u09ae\u09cd\u09ac\u09a8\u09c7<\/h4>\n<\/div>\n<\/div>\n<p><br \/>\n<br \/><a href=\"https:\/\/www.bigganchinta.com\/math\/0bao2g7jx9\">Source link <\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u09ae\u09cd\u09af\u09be\u099c\u09bf\u0995 \u09ab\u09b0\u09cd\u09ae\u09c1\u09b2\u09be n-\u09b8\u0982\u0996\u09cd\u09af\u0995 \u09b6\u09c2\u09a8\u09cd\u09af \u09a8\u09df \u098f\u09ae\u09a8 \u0985\u0999\u09cd\u0995 \u09a6\u09bf\u09df\u09c7 \u0997\u09a0\u09bf\u09a4 \u09b8\u09ac \u0995\u099f\u09bf \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09af\u09cb\u0997\u09ab\u09b2 \u09ac\u09c7\u09b0 \u0995\u09b0\u09be\u09b0 \u09a8\u09bf\u09df\u09ae: \u09e7. \u09af\u09a6\u09bf \u0995\u09cb\u09a8\u09cb \u0985\u0999\u09cd\u0995\u09c7\u09b0 \u09aa\u09c1\u09a8\u09b0\u09be\u09ac\u09c3\u09a4\u09cd\u09a4\u09bf \u09a8\u09be \u0998\u099f\u09c7: (n-1)! \u00d7 (\u0985\u0999\u09cd\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09af\u09cb\u0997\u09ab\u09b2) \u00d7 (\u09e7\u2026n\u09a4\u09ae \u09ac\u09be\u09b0) \u09e8. \u09af\u09a6\u09bf \u0985\u0999\u09cd\u0995\u09c7\u09b0 \u09aa\u09c1\u09a8\u09b0\u09be\u09ac\u09c3\u09a4\u09cd\u09a4\u09bf \u0995\u09b0\u09be\u09b0 \u09b8\u09c1\u09af\u09cb\u0997 \u09a5\u09be\u0995\u09c7: n(n-1) \u00d7 (\u0985\u0999\u09cd\u0995\u0997\u09c1\u09b2\u09cb\u09b0 \u09af\u09cb\u0997\u09ab\u09b2) \u00d7 (\u09e7\u2026n\u09a4\u09ae \u09ac\u09be\u09b0) \u09b8\u09c2\u09a4\u09cd\u09b0\u099f\u09be \u09ad\u09be\u09b2\u09cb\u09ad\u09be\u09ac\u09c7 \u09ae\u09be\u09a5\u09be\u09b0 \u09ad\u09c7\u09a4\u09b0 \u0997\u09c7\u0981\u09a5\u09c7 \u09a8\u09c7\u0993\u09df\u09be\u09b0 \u099c\u09a8\u09cd\u09af \u09a6\u09c1\u099f\u09bf \u0989\u09a6\u09be\u09b9\u09b0\u09a3 \u09a6\u09c7\u0996\u09c7 \u09a8\u09bf\u0987\u0964 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2487,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[9],"tags":[],"class_list":["post-2486","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9"],"_links":{"self":[{"href":"https:\/\/www.protiddhoninews.com\/index.php?rest_route=\/wp\/v2\/posts\/2486","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.protiddhoninews.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.protiddhoninews.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.protiddhoninews.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.protiddhoninews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2486"}],"version-history":[{"count":0,"href":"https:\/\/www.protiddhoninews.com\/index.php?rest_route=\/wp\/v2\/posts\/2486\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.protiddhoninews.com\/index.php?rest_route=\/wp\/v2\/media\/2487"}],"wp:attachment":[{"href":"https:\/\/www.protiddhoninews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2486"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.protiddhoninews.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2486"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.protiddhoninews.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2486"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}