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[Bronze I] Title: 이항 계수 1, Time: 96 ms, Memory: 9336 KB -BaekjoonHub
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# [Bronze I] 이항 계수 1 - 11050
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[문제 링크](https://www.acmicpc.net/problem/11050)
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### 성능 요약
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메모리: 9336 KB, 시간: 96 ms
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### 분류
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조합론, 구현, 수학
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### 제출 일자
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2025년 3월 10일 23:20:38
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### 문제 설명
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<p>자연수 <mjx-container class="MathJax" jax="CHTML" style="font-size: 109%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D441 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>N</mi></math></mjx-assistive-mml><span aria-hidden="true" class="no-mathjax mjx-copytext">\(N\)</span></mjx-container>과 정수 <mjx-container class="MathJax" jax="CHTML" style="font-size: 109%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>K</mi></math></mjx-assistive-mml><span aria-hidden="true" class="no-mathjax mjx-copytext">\(K\)</span></mjx-container>가 주어졌을 때 이항 계수 <mjx-container class="MathJax" jax="CHTML" style="font-size: 109%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mrow><mjx-texatom texclass="OPEN"><mjx-mo class="mjx-sop"><mjx-c class="mjx-c28 TEX-S1"></mjx-c></mjx-mo></mjx-texatom><mjx-mfrac><mjx-frac atop="true" delims="true" style="vertical-align: -0.345em;"><mjx-num style="padding-bottom: 0.306em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D441 TEX-I"></mjx-c></mjx-mi></mjx-num><mjx-den><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi></mjx-den></mjx-frac></mjx-mfrac><mjx-texatom texclass="CLOSE"><mjx-mo class="mjx-sop"><mjx-c class="mjx-c29 TEX-S1"></mjx-c></mjx-mo></mjx-texatom></mjx-mrow></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="OPEN"><mo minsize="1.2em" maxsize="1.2em">(</mo></mrow><mfrac linethickness="0"><mi>N</mi><mi>K</mi></mfrac><mrow data-mjx-texclass="CLOSE"><mo minsize="1.2em" maxsize="1.2em">)</mo></mrow></mrow></math></mjx-assistive-mml><span aria-hidden="true" class="no-mathjax mjx-copytext">\(\binom{N}{K}\)</span></mjx-container>를 구하는 프로그램을 작성하시오.</p>
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### 입력
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<p>첫째 줄에 <mjx-container class="MathJax" jax="CHTML" style="font-size: 109%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D441 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>N</mi></math></mjx-assistive-mml><span aria-hidden="true" class="no-mathjax mjx-copytext">\(N\)</span></mjx-container>과 <mjx-container class="MathJax" jax="CHTML" style="font-size: 109%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>K</mi></math></mjx-assistive-mml><span aria-hidden="true" class="no-mathjax mjx-copytext">\(K\)</span></mjx-container>가 주어진다. (1 ≤ <mjx-container class="MathJax" jax="CHTML" style="font-size: 109%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D441 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>N</mi></math></mjx-assistive-mml><span aria-hidden="true" class="no-mathjax mjx-copytext">\(N\)</span></mjx-container> ≤ 10, 0 ≤ <mjx-container class="MathJax" jax="CHTML" style="font-size: 109%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>K</mi></math></mjx-assistive-mml><span aria-hidden="true" class="no-mathjax mjx-copytext">\(K\)</span></mjx-container> ≤ <mjx-container class="MathJax" jax="CHTML" style="font-size: 109%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D441 TEX-I"></mjx-c></mjx-mi></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>N</mi></math></mjx-assistive-mml><span aria-hidden="true" class="no-mathjax mjx-copytext">\(N\)</span></mjx-container>)</p>
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### 출력
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<p> <mjx-container class="MathJax" jax="CHTML" style="font-size: 109%; position: relative;"><mjx-math class="MJX-TEX" aria-hidden="true"><mjx-mrow><mjx-texatom texclass="OPEN"><mjx-mo class="mjx-sop"><mjx-c class="mjx-c28 TEX-S1"></mjx-c></mjx-mo></mjx-texatom><mjx-mfrac><mjx-frac atop="true" delims="true" style="vertical-align: -0.345em;"><mjx-num style="padding-bottom: 0.306em;"><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D441 TEX-I"></mjx-c></mjx-mi></mjx-num><mjx-den><mjx-mi class="mjx-i" size="s"><mjx-c class="mjx-c1D43E TEX-I"></mjx-c></mjx-mi></mjx-den></mjx-frac></mjx-mfrac><mjx-texatom texclass="CLOSE"><mjx-mo class="mjx-sop"><mjx-c class="mjx-c29 TEX-S1"></mjx-c></mjx-mo></mjx-texatom></mjx-mrow></mjx-math><mjx-assistive-mml unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="OPEN"><mo minsize="1.2em" maxsize="1.2em">(</mo></mrow><mfrac linethickness="0"><mi>N</mi><mi>K</mi></mfrac><mrow data-mjx-texclass="CLOSE"><mo minsize="1.2em" maxsize="1.2em">)</mo></mrow></mrow></math></mjx-assistive-mml><span aria-hidden="true" class="no-mathjax mjx-copytext">\(\binom{N}{K}\)</span></mjx-container>를 출력한다.</p>
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const fs = require('fs');
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let input = fs.readFileSync('/dev/stdin').toString().trim().split('\n');
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const [n, k] = input[0].split(' ').map(Number);
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let parent = 1;
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let child = 1;
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for (let i = 0; i < k; i++) {
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parent *= n - i;
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child *= i + 1;
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}
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console.log(parent / child);

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