{"id":2523,"date":"2024-03-05T15:33:46","date_gmt":"2024-03-05T15:33:46","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=2523"},"modified":"2024-03-05T15:33:46","modified_gmt":"2024-03-05T15:33:46","slug":"every-person-shakes-hand-with-each-other-in-a-party-and-the-total-number-of-handshakes-is-the-number-of-persons-in-he-party-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/every-person-shakes-hand-with-each-other-in-a-party-and-the-total-number-of-handshakes-is-the-number-of-persons-in-he-party-is\/","title":{"rendered":"Every person shakes hand with each other in a party and the total number of handshakes is The number of persons in he party is:"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;II&#8221; option2=&#8221;12&#8243; option3=&#8221;22&#8243; option4=&#8221;None of these&#8221; correct=&#8221;option3&#8243;]<!--more--><\/p>\n<p>The correct answer is (c).<\/p>\n<p>The number of handshakes is equal to the number of people in the party multiplied by the number of people in the party minus one, divided by two. This is because each person shakes hands with everyone else in the party, except for themselves. So, if there are $n$ people in the party, the number of handshakes is $n(n-1)\/2$.<\/p>\n<p>In this case, the total number of handshakes is 22. So, there must be 11 people in the party.<\/p>\n<p>Option (a) is incorrect because 11 is not divisible by 2.<\/p>\n<p>Option (b) is incorrect because 12 is not divisible by 2.<\/p>\n<p>Option (d) is incorrect because it is not one of the possible answers.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;II&#8221; option2=&#8221;12&#8243; option3=&#8221;22&#8243; option4=&#8221;None of these&#8221; correct=&#8221;option3&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[104],"tags":[],"class_list":["post-2523","post","type-post","status-publish","format-standard","hentry","category-combinatorics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Every person shakes hand with each other in a party and the total number of handshakes is The number of persons in he party is:<\/title>\n<meta name=\"description\" content=\"The number of handshakes is equal to the number of people in the party multiplied by the number of people in the party minus one, divided by two. This is because each person shakes hands with everyone else in the party, except for themselves. So, if there are $n$ people in the party, the number of handshakes is $n(n-1)\/2$.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/every-person-shakes-hand-with-each-other-in-a-party-and-the-total-number-of-handshakes-is-the-number-of-persons-in-he-party-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Every person shakes hand with each other in a party and the total number of handshakes is The number of persons in he party is:\" \/>\n<meta property=\"og:description\" content=\"The number of handshakes is equal to the number of people in the party multiplied by the number of people in the party minus one, divided by two. This is because each person shakes hands with everyone else in the party, except for themselves. So, if there are $n$ people in the party, the number of handshakes is $n(n-1)\/2$.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/every-person-shakes-hand-with-each-other-in-a-party-and-the-total-number-of-handshakes-is-the-number-of-persons-in-he-party-is\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2024-03-05T15:33:46+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Every person shakes hand with each other in a party and the total number of handshakes is The number of persons in he party is:","description":"The number of handshakes is equal to the number of people in the party multiplied by the number of people in the party minus one, divided by two. This is because each person shakes hands with everyone else in the party, except for themselves. So, if there are $n$ people in the party, the number of handshakes is $n(n-1)\/2$.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/every-person-shakes-hand-with-each-other-in-a-party-and-the-total-number-of-handshakes-is-the-number-of-persons-in-he-party-is\/","og_locale":"en_US","og_type":"article","og_title":"Every person shakes hand with each other in a party and the total number of handshakes is The number of persons in he party is:","og_description":"The number of handshakes is equal to the number of people in the party multiplied by the number of people in the party minus one, divided by two. This is because each person shakes hands with everyone else in the party, except for themselves. So, if there are $n$ people in the party, the number of handshakes is $n(n-1)\/2$.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/every-person-shakes-hand-with-each-other-in-a-party-and-the-total-number-of-handshakes-is-the-number-of-persons-in-he-party-is\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-03-05T15:33:46+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/every-person-shakes-hand-with-each-other-in-a-party-and-the-total-number-of-handshakes-is-the-number-of-persons-in-he-party-is\/","url":"https:\/\/exam.pscnotes.com\/mcq\/every-person-shakes-hand-with-each-other-in-a-party-and-the-total-number-of-handshakes-is-the-number-of-persons-in-he-party-is\/","name":"Every person shakes hand with each other in a party and the total number of handshakes is The number of persons in he party is:","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2024-03-05T15:33:46+00:00","dateModified":"2024-03-05T15:33:46+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The number of handshakes is equal to the number of people in the party multiplied by the number of people in the party minus one, divided by two. 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