// Numbas version: finer_feedback_settings {"name": "Combinations of one choice from each of three groups, ", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"variable_groups": [], "variables": {"b": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(5..10)", "description": "", "name": "b"}, "a": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(15..30)", "description": "", "name": "a"}, "c": {"templateType": "anything", "group": "Ungrouped variables", "definition": "random(5..10)", "description": "", "name": "c"}}, "ungrouped_variables": ["a", "c", "b"], "question_groups": [{"pickingStrategy": "all-ordered", "questions": [], "name": "", "pickQuestions": 0}], "name": "Combinations of one choice from each of three groups, ", "functions": {}, "showQuestionGroupNames": false, "parts": [{"scripts": {}, "gaps": [{"showCorrectAnswer": true, "allowFractions": false, "scripts": {}, "type": "numberentry", "maxValue": "a*b*c", "minValue": "a*b*c", "correctAnswerFraction": false, "marks": 2, "showPrecisionHint": false}], "type": "gapfill", "prompt": "

Number of different ways = ?[[0]]

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A restaurant has a menu with $\\var{a}$ starters, $\\var{b}$ main courses and $\\var{c}$ desserts.

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How many different ways are there of choosing one starter, one main course and one dessert?

", "tags": ["checked2015", "combinatorics", "counting", "MAS1701", "MAS2216", "sc"], "rulesets": {}, "preamble": {"css": "", "js": ""}, "type": "question", "metadata": {"notes": "

7/02/2013:

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Finished first draft. Included the sc tag.

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Need more information for description and tags.

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The total number of possibilities is $\\var{a}\\times \\var{b}\\times \\var{c}=\\var{a*b*c}$

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