{"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>\r\n    <!-- Check if it's an AMP page -->\r\n            <!-- Non-AMP version -->\r\n        <div class=\"mcq-container\" data-quiz-id=\"quizState_6a96f701de1e1\">\r\n                                            <div class=\"option\" data-option-key=\"option1\" data-is-correct=\"false\">\r\n                    II                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option2\" data-is-correct=\"false\">\r\n                    12                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option3\" data-is-correct=\"true\">\r\n                    22                <\/div>\r\n                                            <div class=\"option\" data-option-key=\"option4\" data-is-correct=\"false\">\r\n                    None of these                <\/div>\r\n                            \r\n            <!-- Feedback messages for non-AMP -->\r\n            <div class=\"feedback\" data-feedback=\"wrong\">Answer is Right!<\/div>\r\n            <div class=\"feedback\" data-feedback=\"right\">Answer is Wrong!<\/div>\r\n        <\/div>\r\n\r\n        <script>\r\n        document.addEventListener('DOMContentLoaded', function () {\r\n            var containers = document.querySelectorAll('.mcq-container');\r\n\r\n            containers.forEach(function(container) {\r\n                var options = container.querySelectorAll('.option');\r\n                var feedbackSelect = container.querySelector('[data-feedback=\"select\"]');\r\n                var feedbackWrong = container.querySelector('[data-feedback=\"wrong\"]');\r\n                var feedbackRight = container.querySelector('[data-feedback=\"right\"]');\r\n\r\n                options.forEach(function(option) {\r\n                    option.addEventListener('click', function() {\r\n                        var selectedOption = option.getAttribute('data-option-key');\r\n                        var isCorrect = option.getAttribute('data-is-correct') === 'true';\r\n\r\n                        \/\/ Remove previous selections\r\n                        options.forEach(function(opt) {\r\n                            opt.classList.remove('correct', 'incorrect');\r\n                        });\r\n\r\n                        \/\/ Add the correct\/incorrect class\r\n                        if (isCorrect) {\r\n                            option.classList.add('correct');\r\n                            feedbackRight.hidden = false;\r\n                            feedbackWrong.hidden = true;\r\n                        } else {\r\n                            option.classList.add('incorrect');\r\n                            feedbackRight.hidden = true;\r\n                            feedbackWrong.hidden = false;\r\n                        }\r\n\r\n                        \/\/ Hide select feedback\r\n                        feedbackSelect.hidden = true;\r\n                    });\r\n                });\r\n            });\r\n        });\r\n        <\/script>\r\n    \r\n    <!--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 <div class=\"youtube-subscribe-container\">\r\n        <a href=\"https:\/\/www.youtube.com\/channel\/UCNHT8lW-JmLC68rjBfZhdkg?sub_confirmation=1\" target=\"_blank\" class=\"youtube-subscribe-button\">\r\n            <span class=\"youtube-icon\">\r\n              <div class=\"telegram-channel-container\">\r\n        <a href=\"https:\/\/t.me\/pscnotes2025\" target=\"_blank\" class=\"telegram-channel-button\">\r\n            <span class=\"telegram-icon\">\r\n                <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 496 512\">\r\n                    <path fill=\"white\" d=\"M248,8C111,8,0,119,0,256s111,248,248,248s248-111,248-248S385,8,248,8z M362,177L320,367c-3,14-10,18-20,14l-56-41l-27,26 c-3,3-5,5-10,5l4-63L323,196c5-5-1-7-8-3l-98,62l-42-13c-9-3-10-9,2-14l162-63C351,160,365,164,362,177z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Join Our Telegram Channel\r\n        <\/a>\r\n    <\/div>   <svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" viewBox=\"0 0 576 512\">\r\n                    <path d=\"M549.7 124.1c-6.3-23.7-24.8-42.3-48.3-48.6C458.8 64 288 64 288 64S117.2 64 74.6 75.5c-23.5 6.3-42 24.9-48.3 48.6-11.4 42.9-11.4 132.3-11.4 132.3s0 89.4 11.4 132.3c6.3 23.7 24.8 41.5 48.3 47.8C117.2 448 288 448 288 448s170.8 0 213.4-11.5c23.5-6.3 42-24.2 48.3-47.8 11.4-42.9 11.4-132.3 11.4-132.3s0-89.4-11.4-132.3zm-317.5 213.5V175.2l142.7 81.2-142.7 81.2z\"\/>\r\n                <\/svg>\r\n            <\/span>\r\n            Subscribe on YouTube\r\n        <\/a>\r\n    <\/div> 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>Join Our Telegram Channel Subscribe on YouTube<\/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":[],"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. 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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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