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【简答题】
是中国南宋末年的一位杰出的数学家、数学教育家、三角是的一大重要研究成果，它的许多性质与组合数的性质有关，三角中蕴藏了许多优美的规律。下图是一个11阶三角： （1）求第20行中从左到右的第4个数； （2）若第n行中从左到右第14个数与第15个数的比为 ，求n的值； （3）求n阶（包括0阶）三角的所有数的和； （4）在第3斜列中，前5个数依次为1，3，6，10，15；第4斜列中，第5个数为35。显然，1+3+6+10+15=35。事实上，一般地有这样的结论：第m斜列中（从右上到）前k个数之和，一定等于第m+1斜列中第k个数。试用含有m、k 的数学公式表示上述结论，并给予证明。
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【简答题】The room was filled with smoke, so it was becoming difficult to . (breath)
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【单选题】The hallway is filled with smoke.
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