{"id":13,"date":"2012-07-28T13:16:26","date_gmt":"2012-07-28T20:16:26","guid":{"rendered":"https:\/\/blogs.ubc.ca\/etec530permutations\/?page_id=13"},"modified":"2012-08-02T20:06:45","modified_gmt":"2012-08-03T03:06:45","slug":"2-lets-play","status":"publish","type":"page","link":"https:\/\/blogs.ubc.ca\/etec530permutations\/2-lets-play\/","title":{"rendered":"2. Let&#8217;s Play!"},"content":{"rendered":"<p><strong>Activity 1.<\/strong><\/p>\n<p>The purpose of the following game is to break the four marble code made up from six colours. (red, blue, black, purple, green and yellow). You must try to do it in less than ten minutes and less than ten tries. If a marble is the right colour and in the right position, there will be a white dot, if a marble is the right colour in the wrong position there will be a blue dot. <strong>As you play think of how many possible ways there are of arranging the code<\/strong>.\u00a0 <a href=\"http:\/\/www.gamesgames.com\/game\/Mooble.html\" target=\"_blank\">Proceed to the game<\/a><\/p>\n<p>Did the game allow for duplicate colours? Did this make it easier or harder? Why?<\/p>\n<p><strong>Activity 2.<\/strong><\/p>\n<p>Watch the following video:<\/p>\n<p>Khan Academy Permutations and Combinations 2<\/p>\n<p><iframe loading=\"lazy\" title=\"Example: Ways to pick officers | Probability and combinatorics | Precalculus | Khan Academy\" width=\"584\" height=\"329\" src=\"https:\/\/www.youtube.com\/embed\/v9NLtiVt3XY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p><strong>Activity 3.\u00a0<\/strong><\/p>\n<p><strong><\/strong>In groups of three, discuss and answer the following questions for the code breaking game:<\/p>\n<p>How many possible colours are there for the first position?<br \/>\nHow many possible colours are there for the second position?<br \/>\nHow many possible colours are there for the third position?<br \/>\nHow many possible colours are there for the fourth position<\/p>\n<p><strong><\/strong>In your groups of three, discuss<strong> how<\/strong> you could calculate how many possible permutations there can be for each<strong> row<\/strong> or code and post your formula here.<\/p>\n<p>Now watch this Khan Academy video Permutations and Combinations and compare your answers:<\/p>\n<p><iframe loading=\"lazy\" title=\"Example: Ways to arrange colors | Probability and combinatorics | Precalculus | Khan Academy\" width=\"584\" height=\"329\" src=\"https:\/\/www.youtube.com\/embed\/oQpKtm5TtxU?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/p>\n<p>Go to <a title=\"3. Permutations, combinations?\" href=\"https:\/\/blogs.ubc.ca\/etec530permutations\/3-what-happened\/\">Permutations or Combinations?<\/a><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Activity 1. The purpose of the following game is to break the four marble code made up from six colours. (red, blue, black, purple, green and yellow). You must try to do it in less than ten minutes and less &hellip; <a href=\"https:\/\/blogs.ubc.ca\/etec530permutations\/2-lets-play\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":898,"featured_media":0,"parent":0,"menu_order":2,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-13","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/blogs.ubc.ca\/etec530permutations\/wp-json\/wp\/v2\/pages\/13","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blogs.ubc.ca\/etec530permutations\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/blogs.ubc.ca\/etec530permutations\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/etec530permutations\/wp-json\/wp\/v2\/users\/898"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubc.ca\/etec530permutations\/wp-json\/wp\/v2\/comments?post=13"}],"version-history":[{"count":17,"href":"https:\/\/blogs.ubc.ca\/etec530permutations\/wp-json\/wp\/v2\/pages\/13\/revisions"}],"predecessor-version":[{"id":32,"href":"https:\/\/blogs.ubc.ca\/etec530permutations\/wp-json\/wp\/v2\/pages\/13\/revisions\/32"}],"wp:attachment":[{"href":"https:\/\/blogs.ubc.ca\/etec530permutations\/wp-json\/wp\/v2\/media?parent=13"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}