28:null 29:["$","title",null,{"children":"Combinations | Charles Redmond | Observable"}] 2e:[] 2c:{"id":"7ca99961ea3a2165","slug":"combinations","title":"Combinations","thumbnail":"879c997bcf816423c52bb0e0922aae355d9f9b060f196333325351c60e924df2","access_level":"public","create_time":"$D2020-09-23T20:21:59.909Z","update_time":"$D2020-09-24T20:46:33.502Z","view_time":null,"first_public_time":"$D2020-09-23T20:52:59.040Z","has_unpublished_edits":null,"fork":{"id":"d303a940b7dd7135","slug":"permutations","title":"Permutations","owner":{"id":"66151b62b45d9fca","login":"credmond","name":"Charles Redmond"}},"stars":1,"starred":false,"owner":{"type":"team","id":"66151b62b45d9fca","login":"credmond","name":"Charles Redmond","avatar_url":"https://avatars-next.observableusercontent.com/50425ed9f407a7b47d1c471a09963f335e0652ab9acc237869e2d7949fb04a77","tier":"starter_2024"},"version":389,"publish_version":389,"role":null,"authored":false,"authors":[{"type":"individual","id":"37a987477e8b6db3","login":"credmond","name":"Charles Redmond","avatar_url":"https://avatars-next.observableusercontent.com/50425ed9f407a7b47d1c471a09963f335e0652ab9acc237869e2d7949fb04a77","tier":null}],"members":[{"type":"individual","id":"37a987477e8b6db3","login":"credmond","name":"Charles Redmond","avatar_url":"https://avatars-next.observableusercontent.com/50425ed9f407a7b47d1c471a09963f335e0652ab9acc237869e2d7949fb04a77","tier":null,"role":"editor"}],"comments":[{"id":"00c217027b2c7a80","reply_to_id":null,"content":"math. factorial (5)/(math.factorial (2)*math.factorial (3)\n\nmath.combinations(5,3)","create_time":"$D2020-10-01T18:58:23.237Z","update_time":"$D2020-10-01T19:00:03.068Z","resolved":false,"user":{"type":"individual","id":"916ba9f6300ce2a5","login":"rmaj","name":"Robert Majczyk","avatar_url":"https://avatars-next.observableusercontent.com/ef52ffba9712dc9eb73c2f53481ef1d7f1010c488fbbba0cf8dc12564e86f110","tier":null}}],"custom_thumbnail":false,"trashed":false,"lapsed":null,"subscribed":null,"forks":17,"collection":{"id":"27b20b49e953b79b","slug":"probability-and-statistics","title":"Probability and Statistics","owner":{"id":"66151b62b45d9fca","login":"credmond","name":"Charles Redmond"}},"type":"notebook","body":{"title":"Combinations","cells":[{"id":0,"value":"html`

Combinations

`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":40,"value":"{\n b\n const svg = html`` \n const container = d3.select(svg)\n container.attr(\"style\",\"width: 600px; height: 180px;\")\n \n const drag = d3.drag().on(\"drag\",function(){\n const target = d3.select(this)\n const x = d3.event.x\n const y = d3.event.y\n target.attr(\"x\",x).attr(\"y\",y)\n })\n \n container.append(\"text\")\n .text(\"Tosin\")\n .attr(\"y\",20)\n .call(drag)\n \n container.append(\"text\")\n .text(\"Mahesh\")\n .attr(\"y\",40)\n .call(drag)\n \n container.append(\"text\")\n .text(\"Rob\")\n .attr(\"y\",60)\n .call(drag)\n \n container.append(\"text\")\n .text(\"Chris\")\n .attr(\"y\",80)\n .call(drag)\n \n container.append(\"text\")\n .text(\"Chad\")\n .attr(\"y\",100)\n .call(drag)\n \n\n \n return svg\n}","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":286,"value":"viewof b = button({value:\"reset\"})","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":334,"value":"html`

Formula for Combination

`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":326,"value":"tex`\\displaystyle {n\\choose k} = \\dfrac{n!}{(n-k)!k!}`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":341,"value":"html`

Exercise 1

`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":344,"value":"html`You will draw two cards from a deck. How many possible distinct hands can you draw?`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":354,"value":"html`

Exercise 2

`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":357,"value":"html`You can order a pizza with thin or thick crust, extra cheese if desired, extra sauce if desired, and exactly three of 5 possible toppings. How many such pizzas can be ordered?`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":365,"value":"html`

Exercise 3

`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":368,"value":"html`You draw five cards from a deck. In how many distinct ways can you draw a pair of aces? (That is, exactly two aces, not three or four.)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":376,"value":"html`

Exercise 4

`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":379,"value":"html`You draw five cards from a deck. In how many distinct ways can you draw a full house? (Two of one denomination and three of another.)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":35,"value":"html`

Libraries

`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":2,"value":"d3 = require(\"d3@5\")","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":52,"value":"import {slider,button,select,text,radio,checkbox,number} from \"@jashkenas/inputs\"","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"},{"id":309,"value":"math = require('mathjs@6.2.1/dist/math.js')","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W2e","stdlib":"1","titling":"auto"}} 2d:"$2c:body"