// Numbas version: exam_results_page_options {"name": "Factorial Ex 3.4", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"functions": {}, "ungrouped_variables": ["a1", "a2", "a3", "b1", "b2", "b3", "a4"], "name": "Factorial Ex 3.4", "tags": [], "advice": "
More information on factorials is available in your Mathematical Physics book, vol 1, section 3.1.1, page 60.
", "rulesets": {}, "parts": [{"prompt": "$ \\dfrac{\\var{a3}!}{r!(\\var{a3}-r)!} $ for
\n$r = 0:$ [[0]],
\n$r = 1:$ [[1]],
\n$r = 2:$ [[2]],
\n$r = 3:$ [[3]],
\n$r = 4:$ [[4]].
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", "variable_groups": [], "variablesTest": {"maxRuns": 100, "condition": ""}, "preamble": {"css": "", "js": ""}, "variables": {"a1": {"definition": "a2+random(3..5)", "templateType": "anything", "group": "Ungrouped variables", "name": "a1", "description": ""}, "a3": {"definition": "4", "templateType": "anything", "group": "Ungrouped variables", "name": "a3", "description": ""}, "a2": {"definition": "random(2..15)", "templateType": "anything", "group": "Ungrouped variables", "name": "a2", "description": ""}, "b1": {"definition": "b2+random(2..5)", "templateType": "anything", "group": "Ungrouped variables", "name": "b1", "description": ""}, "b2": {"definition": "random(2..15)", "templateType": "anything", "group": "Ungrouped variables", "name": "b2", "description": ""}, "b3": {"definition": "random(2..min(b2,5))", "templateType": "anything", "group": "Ungrouped variables", "name": "b3", "description": ""}, "a4": {"definition": "a3+1", "templateType": "anything", "group": "Ungrouped variables", "name": "a4", "description": ""}}, "metadata": {"notes": "", "description": "Simplify fractions involving the products of factorials.
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