十二个319.23加起来选3个球 相加等于30多少

319+23物化双A【南通大学吧】_百度贴吧
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2亿学生的选择
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2亿学生的选择
0到9 随便选7个数相加等于30 这样的组合有多少就是说从0到9里面选出7个数来可以重复相加等于30,例如 这样的数相加等于30的组合有多少呀那为什么是7的平方一直加到1的平方呢,是什么公式呀,你这样算好像不对呀那要是8880006呢 0006888这样不是也有好多吗,到家再帮我算算,我在追加赏金意思明白了您能说说答案吗,要是真的140的话最好把答案一个一个的列出来全列好了,直接采纳真这是麻烦各位了,很是感谢最后的两个朋友的回答,但还是选择最后的一个朋友为答案,
彦枫组织263f
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2亿学生的选择
(1 + x + x^2 + x^3 + x^4 + x^5 + x^6 + x^7 + x^8 + x^9)^7=1 + 7 x + 28 x^2 + 84 x^3 + 210 x^4 + 462 x^5 + 924 x^6 + 1716 x^7 + 3003 x^8 + 5005 x^9 + 8001 x^10 + 12327 x^11 + 18368 x^12 + 26544 x^13 + 37290 x^14 + 51030 x^15 + 68145 x^16 + 88935 x^17 + 113575 x^18 + 142065 x^19 + 174195 x^20 + 209525 x^21 + 247380 x^22 + 286860 x^23 + 326865 x^24 + 366135 x^25 + 403305 x^26 + 436975 x^27 + 465795 x^28 + 488565 x^29 + 504315 x^30 + 512365 x^31 + 512365 x^32 + 504315 x^33 + 488565 x^34 + 465795 x^35 + 436975 x^36 + 403305 x^37 + 366135 x^38 + 326865 x^39 + 286860 x^40 + 247380 x^41 + 209525 x^42 + 174195 x^43 + 142065 x^44 + 113575 x^45 + 88935 x^46 + 68145 x^47 + 51030 x^48 + 37290 x^49 + 26544 x^50 + 18368 x^51 + 12327 x^52 + 8001 x^53 + 5005 x^54 + 3003 x^55 + 1716 x^56 + 924 x^57 + 462 x^58 + 210 x^59 + 84 x^60 + 28 x^61 + 7 x^62 + x^63其中504315 x^30系数为504315,也就是你需要的结果.这是100000以内的所有数字的组合,不够7位的前面补零就是7位数字了, 总共3246个,如果是7位数的话至少10万以上的组合,我的机子没法运行的. {, , , , , 6699, , , , , , 7689, , , , , , 7977, , , , , , 8787, , , , , , 8985, , , , , , 9696, , , , , , 9894, , , , , 1, 13998, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, . 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9}
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其他类似问题
7*7+6*6+5*5+4*4+3*3+2*2+1*1=49+36+25+16+9+4+1=140
(1+x+x2+x3+x4+x5+x6+x7+x8+x9)7上面说的数字全是次方..和为30的,就是这个多项式展开中的x30的系数..生成函数来解。
令生成函数y=(1+t+t^2+t^3+t^4+t^5+t^6+t^7+t^8+t^9)^7=∑Ai*t^i
(0<=t<=63)我们就是求A30,也就是t^30
的系数,y=(1+t+t^2+t^3+t^4+t^5+t^6+t^7+t^8+t^9)^7=[(1-t^10)/(1-t)]^7A30=504315
7的平方+6的平方+...+1的平方
这题可以用母函数来做设函数f(x)=(x^0+x^1+x^2+x^3+x^4+x^5+x^6+x^7+x^8+x^9)^7则答案就应该是x^30前面的系数对上式的理解是这样的:括号中的项都是x^i的形式(0<=i<=9),我们可以选择x^i看做选择数i,那么在将括号的7次方展开时我们可以发现x^30前面的系数代表的意义是从7个括号中选数使得选出的7个数的乘积...
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