// Numbas version: exam_results_page_options
{"name": "Product rule for counting", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["num_women", "num_men", "num_pairs_men"], "name": "Product rule for counting", "tags": [], "preamble": {"css": "", "js": ""}, "advice": "", "rulesets": {}, "parts": [{"prompt": "<p>One&nbsp;of&nbsp;the&nbsp;men&nbsp;and&nbsp;one&nbsp;of&nbsp;the&nbsp;women&nbsp;are&nbsp;going&nbsp;to&nbsp;be&nbsp;chosen&nbsp;to&nbsp;make&nbsp;a&nbsp;pair&nbsp;to&nbsp;sing&nbsp;the&nbsp;first&nbsp;song.</p>\n<p>Work out the number of different pairs that can be chosen.</p>", "allowFractions": false, "variableReplacements": [], "maxValue": "num_men*num_women", "minValue": "num_men*num_women", "variableReplacementStrategy": "originalfirst", "correctAnswerFraction": false, "showCorrectAnswer": true, "scripts": {}, "marks": 1, "type": "numberentry"}, {"displayColumns": 0, "prompt": "<p>Two&nbsp;of&nbsp;the&nbsp;men&nbsp;are&nbsp;going&nbsp;to&nbsp;be&nbsp;chosen&nbsp;to&nbsp;make&nbsp;a&nbsp;pair&nbsp;to&nbsp;sing&nbsp;the&nbsp;second&nbsp;song.</p>\n<p>Ben&nbsp;thinks&nbsp;the&nbsp;number&nbsp;of&nbsp;different&nbsp;pairs&nbsp;that&nbsp;can&nbsp;be&nbsp;chosen&nbsp;is {comb(num_men,2)}.</p>\n<p>Mark&nbsp;thinks&nbsp;the&nbsp;number&nbsp;of&nbsp;different&nbsp;pairs&nbsp;that&nbsp;can&nbsp;be&nbsp;chosen&nbsp;is&nbsp;{perm(num_men,2)}.</p>\n<p>Who&nbsp;is&nbsp;correct,&nbsp;Ben&nbsp;or&nbsp;Mark?</p>", "matrix": ["1", 0], "shuffleChoices": false, "variableReplacements": [], "choices": ["<p>Ben</p>", "<p>Mark</p>"], "variableReplacementStrategy": "originalfirst", "maxMarks": 0, "distractors": ["", ""], "showCorrectAnswer": true, "scripts": {}, "marks": 0, "type": "1_n_2", "displayType": "radiogroup", "minMarks": 0}], "extensions": [], "statement": "<p>There&nbsp;are {num_men} men&nbsp;and {num_women} women&nbsp;in&nbsp;a&nbsp;choir.</p>\n<p>The&nbsp;choir&nbsp;is&nbsp;going&nbsp;to&nbsp;sing&nbsp;at&nbsp;a&nbsp;concert.</p>", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "variables": {"num_women": {"definition": "random(10..40#1)", "templateType": "randrange", "group": "Ungrouped variables", "name": "num_women", "description": ""}, "num_men": {"definition": "random(10..40 except num_women)", "templateType": "anything", "group": "Ungrouped variables", "name": "num_men", "description": ""}, "num_pairs_men": {"definition": "comb(num_men,2)", "templateType": "anything", "group": "Ungrouped variables", "name": "num_pairs_men", "description": "<p>Number of ways of picking 2 men; order doesn't matter.</p>"}}, "metadata": {"description": "", "licence": "Creative Commons Attribution 4.0 International"}, "type": "question", "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}]}], "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}]}