Evaluate expression 6p5<\/p>\n\n\n\n
The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n The expression ( 6P5 ) represents a permutation, which is a way to calculate the number of possible arrangements of items when the order in which the items are arranged matters. The formula for permutations is:<\/p>\n\n\n\n [ Where:<\/p>\n\n\n\n In this case:<\/p>\n\n\n\n Now, using the permutation formula:<\/p>\n\n\n\n [ First, calculate the factorials:<\/p>\n\n\n\n Substitute these values into the formula:<\/p>\n\n\n\n [ Thus, the value of ( 6P5 ) is ( 720 ).<\/p>\n\n\n\n The concept of permutations deals with the arrangement of a certain number of objects, where the order is important. In this case, we’re arranging 5 objects out of 6 available objects. The formula for permutations helps us compute how many different ways we can arrange a subset of items, considering the distinct order of placement.<\/p>\n\n\n\n The expression ( 6P5 ) can be interpreted as selecting 5 positions from 6 available options and then arranging the 5 selected positions. The order matters, so each arrangement counts as a unique permutation. The fact that ( n! ) represents all possible ways to arrange the total set and ( (n – r)! ) accounts for the unchosen positions, leaving us with the total number of distinct ordered selections.<\/p>\n","protected":false},"excerpt":{"rendered":" Evaluate expression 6p5 The Correct Answer and Explanation is: The expression ( 6P5 ) represents a permutation, which is a way to calculate the number of possible arrangements of items when the order in which the items are arranged matters. The formula for permutations is: [nP r = \\frac{n!}{(n-r)!}] Where: In this case: Now, using […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-166640","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166640","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=166640"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/166640\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=166640"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=166640"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=166640"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}
nP r = \\frac{n!}{(n-r)!}
]<\/p>\n\n\n\n\n
\n
6P5 = \\frac{6!}{(6-5)!} = \\frac{6!}{1!}
]<\/p>\n\n\n\n\n
6P5 = \\frac{720}{1} = 720
]<\/p>\n\n\n\nExplanation:<\/h3>\n\n\n\n