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枫下家园 / 望子成龙 / 初中数学题, 觉得挺简单, 就是5个选项中没有算出的答案, 请高手出马, 谢谢A basketball team needs 4 new players, but there are 10 good players who have all qualified for the team. How many different teams could be made by choosing only 4 of the 10 qualified players?
-field(busboy);
2009-4-27
{192}
(#5224918@0)
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10*9*8*7=5040
-hhorse(hhorse);
2009-4-27
(#5224951@0)
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你这是排列, 其中有重复的. 此题应该是组合问题. C10^4
-field(busboy);
2009-4-27
(#5225082@0)
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对.
-qdongdong10000(阿土伯);
2009-4-27
(#5225091@0)
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那是5040/(4×3×2×1)=210? 我是这么考虑的,选第一位队员,是十个里面选一个,有十种可能,第一个定下来,选第二个,就在九个里面选一个,以此类推,得到5040.考虑到重复问题,在5040个组合里面,任意固定的四个人,有24个次序排法。
-hhorse(hhorse);
2009-4-27
(#5225119@0)
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有这个答案吗: 210.
-david64(david);
2009-4-27
(#5225095@0)
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This was my answer. Their answers were 40/256/5040/10080/100000.
-field(busboy);
2009-4-27
(#5225102@0)
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让孩子去问问老师好了。看老师怎么说。不过要准备老师也不一定知道。我孩子老师曾经说三个不相同的字母任意排列(每个字母只用一次),有九种排法。
-hhorse(hhorse);
2009-4-27
(#5225148@0)
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那就5040,怎么也得分出个1、2、3、4号种子选手啊:)
-d2park(将山寨进行到底);
2009-4-27
(#5225183@0)
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这不就是10选4, C4/10 啊
-torontobroker(_);
2009-4-28
(#5225511@0)