{"id":238902,"date":"2025-06-18T13:12:03","date_gmt":"2025-06-18T13:12:03","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=238902"},"modified":"2025-06-18T13:12:05","modified_gmt":"2025-06-18T13:12:05","slug":"nemo-has-5-swimsuits-2-pairs-of-flippers-and-3-pairs-of-goggles-which-can-be-worn-in-any-combination","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/06\/18\/nemo-has-5-swimsuits-2-pairs-of-flippers-and-3-pairs-of-goggles-which-can-be-worn-in-any-combination\/","title":{"rendered":"Nemo has 5 swimsuits, 2 pairs of flippers, and 3 pairs of goggles, which can be worn in any combination"},"content":{"rendered":"\n<p>Nemo has 5 swimsuits, 2 pairs of flippers, and 3 pairs of goggles, which can be worn in any combination. He needs to choose a combination of swimwear to wear to a family pool party. How many different combinations consisting of 1 swimsuit, 1 pair of flippers, and 1 pair of goggles are possible for Nemo to wear to the pool party?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-1-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find how many different combinations Nemo can wear to the pool party, we use the <strong>fundamental counting principle<\/strong>. This principle states that if there are <em>m<\/em> ways to do one thing, <em>n<\/em> ways to do another, and <em>p<\/em> ways to do a third, then the total number of combinations is the product of the individual choices.<\/p>\n\n\n\n<p>Nemo has the following:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>5 swimsuits<\/li>\n\n\n\n<li>2 pairs of flippers<\/li>\n\n\n\n<li>3 pairs of goggles<\/li>\n<\/ul>\n\n\n\n<p>Each full outfit for the pool party must include <strong>1 swimsuit<\/strong>, <strong>1 pair of flippers<\/strong>, and <strong>1 pair of goggles<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Step-by-step Calculation:<\/h3>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Choices for swimsuits: 5<\/li>\n\n\n\n<li>Choices for flippers: 2<\/li>\n\n\n\n<li>Choices for goggles: 3<\/li>\n<\/ul>\n\n\n\n<p>Now multiply the number of choices: 5\u00d72\u00d73=305 \\times 2 \\times 3 = 305\u00d72\u00d73=30<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Final Answer:<\/h3>\n\n\n\n<p><strong>30 different combinations<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>This is a classic example of applying the fundamental counting principle in combinatorics. The principle helps in counting the total number of possible outcomes when a task is broken down into a sequence of independent choices.<\/p>\n\n\n\n<p>In this case, Nemo is preparing for a pool party and needs to select one item from each category of swimwear: swimsuits, flippers, and goggles. Since each category is independent of the others, the number of total combinations is found by multiplying the number of options in each category.<\/p>\n\n\n\n<p>He has 5 swimsuits, which means he can begin by choosing any one of these five. For each of these swimsuit choices, he can pair it with any of the 2 flippers. That gives us 5 \u00d7 2 = 10 combinations so far.<\/p>\n\n\n\n<p>But the outfit is not complete yet. For each of these 10 swimsuit-flipper combinations, he can choose from 3 pairs of goggles. So, we multiply 10 by 3, resulting in 30.<\/p>\n\n\n\n<p>These combinations represent all the unique ways Nemo can dress for the pool party without repeating any item more than once in a single outfit. It\u2019s important to note that the order of wearing the items does not matter; what matters is the combination of one from each group. Thus, <strong>Nemo has 30 different outfit combinations<\/strong> available.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-1110.jpeg\" alt=\"\" class=\"wp-image-238903\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Nemo has 5 swimsuits, 2 pairs of flippers, and 3 pairs of goggles, which can be worn in any combination. He needs to choose a combination of swimwear to wear to a family pool party. How many different combinations consisting of 1 swimsuit, 1 pair of flippers, and 1 pair of goggles are possible for [&hellip;]<\/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-238902","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238902","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=238902"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/238902\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=238902"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=238902"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=238902"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}