???+??+??-?=???十个数字成等式,一个数字可以重复

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问题描述:

十个不同数字成等式,可以有一个数字用重。

有多少种答案?

如果说答案特别多,请贴入本人的贴吧。3Q

解析:

算式太多了,计算了一种最后一个数的个位是可以重复,有649个算式(其中排除了一些重复解,等号左边3个加数的十位数字可以相互更换,个位数字可以相互更换):

103+56+89-7=241,103+56+97-8=248,103+57+89-6=243,103+64+97-8=256

103+64+98-7=258,103+65+87-9=246,103+67+89-4=255,103+68+79-5=245

103+74+86-9=254,103+74+89-5=261,103+74+95-8=264,103+75+89-4=263

103+84+95-6=276,103+84+96-5=278,104+56+79-8=231,104+56+87-9=238

104+58+79-6=235,104+65+78-9=238,104+67+89-3=257,104+75+89-3=265

105+46+89-7=233,105+47+89-6=235,105+68+79-3=249,106+47+89-5=237

106+57+89-3=249,106+58+79-3=240,106+58+79-4=239,107+58+69-4=230

124+85+97-6=300,124+86+97-5=302,125+86+97-4=304,130+45+97-8=264

130+45+98-7=266,130+46+87-9=254,130+46+89-7=258,130+47+89-5=261

130+48+79-6=251,130+54+87-9=262,130+54+89-7=266,130+54+96-8=272

130+54+98-6=276,130+56+89-4=271,130+57+68-9=246,130+57+69-8=248

130+58+79-4=263,130+64+85-9=270,130+64+89-5=278,130+64+95-7=282

130+64+97-5=286,130+65+97-4=288,134+56+89-0=279,134+56+97-0=287

134+75+86-0=295,135+46+89-0=270,135+46+98-0=279,135+48+79-0=262

137+48+69-0=254,140+53+78-9=262,140+53+79-8=264,140+53+86-9=270

140+53+89-6=276,140+53+96-7=282,140+53+97-6=284,140+63+85-9=279

140+65+79-3=281,140+73+85-6=292,140+73+86-5=294,140+75+86-3=298

142+67+98-5=302,142+75+89-6=300,142+75+96-8=305,142+75+98-6=309

142+76+89-5=302,143+58+69-0=270,143+65+79-0=287,143+65+87-0=295

145+67+98-2=308,145+76+89-2=308,145+86+97-0=328,150+63+79-4=288

150+63+84-7=290,150+63+87-4=296,150+64+87-3=298,150+76+98-4=320

150+84+96-7=323,150+84+97-6=325,150+86+97-4=329,152+64+97-8=305

152+64+98-7=307,152+67+89-4=304,152+74+86-9=303,152+74+89-6=309

153+64+78-0=295,154+67+89-2=308,154+76+98-0=328,160+74+95-8=321

160+74+98-5=327,160+75+89-4=320,160+75+98-4=329,160+85+97-2=340

162+85+97-0=344,164+75+89-0=328,170+82+95-6=341,170+82+96-5=343

170+85+96-2=349,172+84+96-0=352,201+56+97-8=346,201+56+98-7=348

201+57+89-6=341,201+64+97-8=354,201+64+98-7=356,201+65+87-9=344

201+65+89-7=348,201+67+89-4=353,201+68+79-5=343,201+74+86-9=352

201+74+89-6=358,201+74+95-8=362,201+74+98-5=368,201+75+89-4=361

201+84+95-6=374,201+84+96-5=376,201+85+96-4=378,204+67+89-1=359

204+68+79-1=350,204+75+89-1=367,205+47+68-9=311,205+47+69-8=313

205+48+69-7=315,206+47+98-1=350,206+58+79-1=342,207+48+69-5=319

210+56+87-9=344,210+56+89-7=348,210+57+98-4=361,210+58+79-6=341

210+64+87-9=352,210+64+89-7=356,210+65+78-9=344,210+65+79-8=346

210+68+79-4=353,210+74+85-9=360,210+74+89-5=368,214+57+89-0=360

214+57+98-0=369,214+65+98-0=377,214+75+96-0=385,215+47+98-0=360

216+47+89-0=352,217+58+69-0=344,231+76+98-5=400,231+85+96-7=405

231+85+97-6=407,231+86+97-5=409,235+76+98-1=408,235+86+97-0=418

240+51+78-9=360,240+51+79-8=362,240+51+87-9=369,240+51+89-6=374

240+51+96-7=380,240+51+96-8=379,240+51+97-6=382,240+61+85-9=377

240+61+95-7=389,240+65+79-1=383,240+65+87-1=391,240+71+85-6=390

240+71+86-5=392,241+65+79-0=385,241+65+87-0=393,250+61+79-4=386

250+61+87-4=394,250+64+78-1=391,250+67+98-3=412,250+71+84-6=399

250+73+96-8=411,250+73+98-6=415,250+76+89-3=412,250+86+97-1=432

251+63+97-8=403,251+63+98-7=405,251+64+78-0=393,251+67+89-3=404

251+73+86-9=401,251+73+89-6=407,251+86+97-0=434,253+67+89-1=408

253+67+98-0=418,253+76+89-0=418,260+73+89-5=417,260+75+98-1=432

260+81+97-5=433,261+75+98-0=434,271+83+96-0=450,301+56+78-9=426

301+56+79-8=428,301+58+69-7=421,301+62+97-8=452,301+62+98-7=454

301+67+89-2=455,301+72+86-9=450,301+72+89-6=456,301+72+95-8=460

301+72+98-5=466,301+75+89-2=463,301+82+95-6=472,301+82+96-5=474

302+57+68-9=418,302+67+89-1=457,302+75+89-1=465,305+26+89-7=413

305+27+89-6=415,306+27+89-5=417,310+57+68-9=426,310+57+69-8=428

310+57+98-2=463,310+62+87-9=450,310+62+89-7=454,310+65+98-2=471

310+68+79-2=455,310+72+86-9=459,310+72+89-5=466,310+72+95-8=469

312+57+98-0=467,312+65+98-0=475,312+68+79-0=459,312+75+96-0=483

315+27+68-9=401,315+27+69-8=403,315+28+69-7=405,317+28+69-5=409

320+51+97-8=460,320+51+98-7=462,320+56+98-1=473,320+57+89-1=465

320+61+78-9=450,320+61+79-8=452,320+61+87-9=459,320+61+98-5=474

320+65+89-1=473,320+65+97-1=481,320+71+85-9=467,320+71+95-6=480

320+71+96-5=482,321+56+98-0=475,321+57+89-0=467,321+65+89-0=475

321+65+97-0=483,321+86+97-4=500,324+86+97-1=506,340+76+98-2=512

340+82+96-7=511,340+82+97-6=513,340+86+97-1=522,341+67+98-2=504

341+72+96-8=501,341+72+98-6=505,341+76+89-2=504,341+86+97-0=524

342+67+98-1=506,342+76+89-1=506,342+76+98-0=516,350+61+79-2=488

350+61+87-2=496,350+62+87-1=498,350+71+82-6=497,351+62+78-0=491

360+71+98-4=525,360+72+89-4=517,360+72+94-8=518,360+74+89-1=522

360+81+94-7=528,361+72+84-9=508,361+74+89-0=524,361+82+97-0=540

370+81+96-2=545,370+82+96-1=547,371+82+96-0=549,401+36+97-8=526

401+36+98-7=528,401+37+89-6=521,401+62+78-9=532,401+62+79-8=534

401+72+98-3=568,401+73+89-2=561,401+82+93-6=570,401+82+93-7=569

401+82+96-3=576,401+83+96-2=578,402+36+87-9=516,402+38+79-6=513

402+73+89-1=563,403+26+89-7=511,403+26+97-8=518,403+27+89-6=513

406+27+89-3=519,406+27+98-1=530,406+28+79-3=510,406+38+79-1=522

407+38+69-2=512,410+36+87-9=524,410+36+89-7=528,410+38+79-6=521

410+72+89-3=568,410+72+93-8=567,410+82+93-6=579,412+37+68-9=508

412+63+98-0=573,412+73+96-0=581,413+26+78-9=508,413+27+69-8=501

413+28+69-7=503,416+27+89-0=532,417+38+69-0=524,420+37+68-9=516

420+37+69-8=518,420+61+98-3=576,420+63+89-1=571,420+71+83-9=565

420+71+96-3=584,420+73+96-1=588,421+63+89-0=573,421+63+97-0=581

421+85+97-3=600,423+85+97-1=604,430+61+89-2=578,430+61+92-8=575

430+61+97-2=586,430+62+97-1=588,430+71+92-6=587,430+85+97-2=610

431+75+98-2=602,431+82+95-7=601,431+82+97-5=605,432+75+98-1=604

432+85+97-0=614,450+72+98-3=617,450+73+89-2=610,450+73+98-1=620

450+73+98-2=619,450+81+97-3=625,450+82+93-7=618,450+83+97-1=629

451+72+89-3=609,451+72+93-8=608,451+73+98-0=622,451+82+97-0=630

452+73+89-0=614,470+81+92-5=638,501+34+97-8=624,501+34+98-7=626

501+37+89-4=623,501+42+97-8=632,501+42+98-7=634,501+43+87-9=622

501+43+89-7=626,501+47+89-2=635,501+48+79-3=625,501+72+83-9=647

501+82+93-4=672,501+82+94-3=674,501+83+94-2=676,502+34+87-9=614

502+34+89-7=618,502+38+79-4=615,502+43+78-9=614,502+43+79-8=616

502+47+89-1=637,502+83+94-1=678,503+24+97-8=616,503+24+98-7=618

503+27+89-4=615,503+48+79-1=629,504+27+89-3=617,504+37+89-1=629

504+38+79-1=620,504+38+79-2=619,510+27+98-4=631,510+34+87-9=622

510+34+89-7=626,510+37+98-2=643,510+38+79-4=623,510+42+87-9=630

510+42+89-7=634,510+43+78-9=622,510+43+79-8=624,510+48+79-2=635

512+37+98-0=647,512+48+79-0=639,513+24+78-9=606,513+24+79-8=608

514+27+89-0=630,514+27+98-0=639,517+38+49-2=602,520+31+97-8=640

520+31+98-7=642,520+37+89-1=645,520+41+78-9=630,520+41+79-8=632

520+41+87-9=639,520+71+93-4=680,520+71+94-3=682,520+73+94-1=686

521+37+89-0=647,521+38+49-7=601,521+73+94-0=688,523+84+96-1=702

527+38+49-0=614,530+71+92-4=689,531+42+98-0=671,531+82+94-6=701

531+82+96-4=705,531+84+96-2=709,532+84+96-0=712,540+71+82-3=690

540+71+83-2=692,540+72+83-1=694,540+82+96-3=715,540+83+96-2=717

541+63+98-2=700,541+72+83-0=696,541+83+96-0=720,542+63+98-1=702

560+81+94-2=733,560+82+94-1=735,561+82+94-0=737,601+34+95-8=722

601+34+98-5=728,601+35+89-4=721,601+42+95-8=730,601+42+98-5=736

601+43+85-9=720,601+43+89-5=728,601+45+89-2=733,601+52+89-4=738

601+52+94-8=739,601+52+98-3=748,601+53+84-9=729,601+53+89-2=741

602+34+85-9=712,602+45+89-1=735,602+53+89-1=743,603+24+89-5=711

603+24+95-8=714,603+25+89-4=713,604+25+89-3=715,604+35+89-1=727

610+34+85-9=720,610+34+89-5=728,610+35+98-2=741,610+42+89-5=736

610+42+95-8=739,610+43+85-9=729,610+52+84-9=737,610+52+89-3=748

610+52+93-8=747,612+35+98-0=745,612+38+59-4=705,612+43+58-9=704

612+43+59-8=706,612+43+98-0=753,613+48+59-0=720,614+25+98-0=737

614+38+59-2=709,615+38+49-2=700,620+31+98-5=744,620+34+98-1=751

620+35+89-1=743,620+38+59-4=713,620+41+85-9=737,620+41+98-3=756

620+43+58-9=712,620+43+59-8=714,620+43+89-1=751,620+51+83-9=745

621+34+58-9=704,621+34+59-8=706,621+34+98-0=753,621+35+89-0=745

621+38+49-5=703,621+43+89-0=753,625+38+49-0=712,630+41+58-9=720

630+41+59-8=722,630+41+89-2=758,630+41+92-8=755,632+74+95-1=800

640+51+92-3=780,640+51+93-2=782,640+52+93-1=784,641+52+93-0=786

641+72+93-5=801,641+72+95-3=805,641+73+95-2=807,642+73+95-0=810

642+73+95-1=809,650+72+93-4=811,650+72+94-3=813,650+73+94-2=815

652+73+94-0=819,701+34+95-6=824,701+34+96-5=826,701+35+96-4=828

701+42+95-6=832,701+42+96-5=834,701+52+93-6=840,701+52+96-3=846

701+53+96-2=848,701+54+69-3=821,701+62+93-4=852,701+62+94-3=854

701+63+94-2=856,702+45+69-3=813,702+53+64-9=810,702+63+94-1=858

703+24+95-6=816,703+24+96-5=818,703+45+69-2=815,703+54+69-1=825

710+45+69-3=821,710+52+93-6=849,710+53+69-4=828,710+54+69-2=831

712+34+65-9=802,712+35+96-0=843,712+36+59-4=803,712+43+56-9=802

712+43+59-6=808,712+43+96-0=851,712+54+69-0=835,713+24+69-5=801

713+25+69-4=803,713+45+69-0=827,714+25+69-3=805,714+25+96-0=835

714+36+59-2=807,720+31+95-6=840,720+31+96-5=842,720+34+65-9=810

720+34+69-5=818,720+36+59-4=811,720+41+96-3=854,720+43+56-9=810

720+43+59-6=816,720+43+65-9=819,720+43+96-1=858,720+45+69-1=833

720+51+69-4=836,720+51+93-4=860,720+51+94-3=862,720+53+69-1=841

720+53+94-1=866,721+34+56-9=802,721+34+59-6=808,721+34+96-0=851

721+36+49-5=801,721+45+69-0=835,721+53+69-0=843,721+53+94-0=868

724+36+59-0=819,725+36+49-0=810,725+36+49-1=809,730+41+59-6=824

730+41+65-9=827,730+41+92-6=857,730+41+95-2=864,730+42+56-9=819

730+42+95-1=866,730+51+69-2=848,730+51+92-4=869,731+42+95-0=868

801+53+74-6=922,801+53+76-4=926,801+54+76-3=928,801+62+74-5=932

801+62+75-4=934,801+64+75-2=938,802+43+75-6=914,802+43+76-5=916

802+45+67-3=911,802+53+64-7=912,802+53+67-4=918,802+54+76-1=931

803+45+67-2=913,803+45+76-1=923,803+54+67-1=923,804+35+76-2=913

810+43+75-6=922,810+43+76-5=924,810+45+76-3=928,810+52+74-6=930

810+52+76-4=934,810+53+64-7=920,810+53+67-4=926,810+54+67-3=928

810+54+76-2=938,810+62+73-5=940,810+62+75-3=944,810+63+75-2=946

812+34+65-7=904,812+34+67-5=908,812+36+57-4=901,812+43+56-7=904

812+43+57-6=906,812+45+76-0=933,812+53+76-0=941,812+54+67-0=933

813+24+75-6=906,813+24+76-5=908,813+25+67-4=901,813+45+67-0=925

814+25+67-3=903,814+35+76-0=925,814+36+57-2=905,820+34+65-7=912

820+34+67-5=916,820+35+67-4=918,820+41+75-6=930,820+41+76-5=932

820+43+56-7=912,820+43+57-6=914,820+45+67-1=931,820+51+67-4=934

820+51+74-6=939,820+51+76-3=944,820+53+76-1=948,820+61+73-4=950

820+61+73-5=949,820+61+74-3=952,820+63+74-1=956,821+34+56-7=904

821+34+57-6=906,821+45+67-0=933,821+53+67-0=941,821+63+74-0=958

824+36+57-0=917,825+36+47-1=907,830+41+56-7=920,830+41+57-6=922

830+41+65-7=929,830+51+67-2=946,830+51+72-6=947,830+52+67-1=948

830+61+72-4=959,840+51+72-3=960,840+51+73-2=962,840+52+73-1=964

841+52+73-0=966
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