content/Mathematics.Combinatorics.xml at main · Praktiko/content · GitHub

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<?xml version="1.0"?>
<ProblemTemplateRepo xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns:xsd="http://www.w3.org/2001/XMLSchema">
	<MajorVersion>1</MajorVersion>
	<MinorVersion>0</MinorVersion>
	<ProblemTemplates>
		<ProblemTemplate id="5.1.01.">
			<Guid>e12352df-3c3c-4dc9-9b1d-af14d4f0f484</Guid>
			<Tags>
				<string>subject-mathematics</string>
				<string>category-combinatorics</string>
				<string>subcategory-in-how-many-ways</string>
				<string>class-hungary-8</string>
				<string>difficulty-easy</string>
			</Tags>
			<Variables>
				<Variable>
					<Name>{a}</Name>
					<MinValue>4</MinValue>
					<MaxValue>26</MaxValue>
					<ValueStep>1</ValueStep>
				</Variable>
				<Variable>
					<Name>{sport}</Name>
					<MinValue>0</MinValue>
					<MaxValue>9</MaxValue>
					<ValueStep>1</ValueStep>
				</Variable>
				<Variable>
					<Name>{fact}</Name>
					<ValueCalculation type="C#">var fact=0; for (int i=1; i&lt;={a}; i++) { fact *= i; } return fact;</ValueCalculation>
				</Variable>
			</Variables>
			<VariableValidator type="C#"/>
			<TextSnippets>
			</TextSnippets>
			<Question>
				<LocalizedText>
					<Culture>hu-HU</Culture>
					<Text>Néhány {Sports[{sport}]}csapat egyfordulós körmérkőzést játszik egymással. Hányféleképpen végezhetnek a csapatok, ha {a} csapat van?</Text>
				</LocalizedText>
			</Question>
			<Solution>
				<SolutionStep>
					<Presentation>
						<LocalizedText>
							<Culture>hu-HU</Culture>
							<Text>{fact.ToString("0")} féleképpen</Text>
						</LocalizedText>
						<LocalizedText>
							<Text>{fact.ToString("0")}</Text>
						</LocalizedText>
					</Presentation>
				</SolutionStep>
			</Solution>
		</ProblemTemplate>
		<ProblemTemplate id="5.1.03.b">
			<Guid>69cd63d1-fd00-4817-9e04-e18591f023f7</Guid>
			<Tags>
				<string>subject-mathematics</string>
				<string>category-combinatorics</string>
				<string>subcategory-in-how-many-ways</string>
				<string>class-hungary-8</string>
				<string>difficulty-easy</string>
			</Tags>
			<Variables>
				<Variable>
					<Name>{a}</Name>
					<MinValue>2</MinValue>
					<MaxValue>9</MaxValue>
					<ValueStep>1</ValueStep>
				</Variable>
				<Variable>
					<Name>{b}</Name>
					<MinValue>2</MinValue>
					<MaxValue>9</MaxValue>
					<ValueStep>1</ValueStep>
				</Variable>
				<Variable>
					<Name>{x}</Name>
					<ValueCalculation type="C#">return ({b}-1 * {a} * 0 * -1);</ValueCalculation>
				</Variable>
			</Variables>
			<VariableValidator type="C#"/>
			<TextSnippets>
			</TextSnippets>
			<Question>
				<LocalizedText>
					<Culture>hu-HU</Culture>
					<Text>{Names["Alice"]} a születésnapjára {a} lányt és {b} fiút hívott meg. Hányféle sorrendben érkezhetnek meg a vendégek, ha az első vendég biztosan fiú?</Text>
				</LocalizedText>
			</Question>
			<Solution>
				<SolutionStep>
					<Presentation>
						<LocalizedText>
							<Culture>hu-HU</Culture>
							<Text>{x.ToString("0")} féle sorrendben</Text>
						</LocalizedText>
						<LocalizedText>
							<Text>{x.ToString("0")}</Text>
						</LocalizedText>
					</Presentation>
				</SolutionStep>
			</Solution>
		</ProblemTemplate>
	</ProblemTemplates>
</ProblemTemplateRepo>