// Numbas version: finer_feedback_settings
{"name": "larger truth table", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {"evaluate": {"definition": "return scope.evaluate(expr);", "type": "number", "language": "javascript", "parameters": [["expr", "string"], ["dependencies", "list"]]}, "conv": {"definition": "switch(op=\"\\\\land\",\"and\",op=\"\\\\lor\",\"or\",\"implies\")", "type": "string", "language": "jme", "parameters": [["op", "string"]]}, "bool_to_label": {"definition": "map(if(l[x],'T','F'),x,0..length(l)-1)", "type": "number", "language": "jme", "parameters": [["l", "list"]]}, "convch": {"definition": "switch(ch=\"\\\\neg p\",\"not p[t]\",ch=\"\\\\neg q\",\"not q[t]\",ch=\"p\",\"p[t]\",\"q[t]\")", "type": "string", "language": "jme", "parameters": [["ch", "string"]]}}, "ungrouped_variables": [], "name": "larger truth table", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "<p>Use the truth tables for the \"<strong>and</strong>\" operator $\\wedge$ and the implication $\\Rightarrow$. Remember that $p\\Rightarrow q$ is true whenever $p$ is false or $q$ is true.</p>\n<p></p>", "rulesets": {}, "parts": [{"prompt": "<p style=\"text-align: center;\">Complete the following truth table; enter $0$ for false and $1$ for true.<br/><br/></p>\n<table style=\"width: 50px; margin-left: auto; margin-right: auto;\" border=\"1\">\n<tbody>\n<tr><th>$p$</th><th>$q$</th><th>$r$</th><th>$q\\land r$</th><th style=\"text-align: center;\">$p\\Rightarrow(q\\land r)$</th><th>$p\\Rightarrow q$</th><th>$p\\Rightarrow r$</th><th>$(p\\Rightarrow q)\\land(p\\Rightarrow r)$</th></tr>\n<tr>\n<td>0</td>\n<td>0</td>\n<td>0</td>\n<td>[[0]]</td>\n<td>[[8]]</td>\n<td>[[16]]</td>\n<td>[[24]]</td>\n<td>[[32]]</td>\n</tr>\n<tr>\n<td>0</td>\n<td>0</td>\n<td>1</td>\n<td>[[1]]</td>\n<td>[[9]]</td>\n<td>[[17]]</td>\n<td>[[25]]</td>\n<td>[[33]]</td>\n</tr>\n<tr>\n<td>0</td>\n<td>1</td>\n<td>0</td>\n<td>[[2]]</td>\n<td>[[10]]</td>\n<td>[[18]]</td>\n<td>[[26]]</td>\n<td>[[34]]</td>\n</tr>\n<tr>\n<td>0</td>\n<td>1</td>\n<td>1</td>\n<td>[[3]]</td>\n<td>[[11]]</td>\n<td>[[19]]</td>\n<td>[[27]]</td>\n<td>[[35]]</td>\n</tr>\n<tr>\n<td>1</td>\n<td>0</td>\n<td>0</td>\n<td>[[4]]</td>\n<td>[[12]]</td>\n<td>[[20]]</td>\n<td>[[28]]</td>\n<td>[[36]]</td>\n</tr>\n<tr>\n<td>1</td>\n<td>0</td>\n<td>1</td>\n<td>[[5]]</td>\n<td>[[13]]</td>\n<td>[[21]]</td>\n<td>[[29]]</td>\n<td>[[37]]</td>\n</tr>\n<tr>\n<td>1</td>\n<td>1</td>\n<td>0</td>\n<td>[[6]]</td>\n<td>[[14]]</td>\n<td>[[22]]</td>\n<td>[[30]]</td>\n<td>[[38]]</td>\n</tr>\n<tr>\n<td>1</td>\n<td>1</td>\n<td>1</td>\n<td>[[7]]</td>\n<td>[[15]]</td>\n<td>[[23]]</td>\n<td>[[31]]</td>\n<td>[[39]]</td>\n</tr>\n</tbody>\n</table>", 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