How many four-digit numbers are there with digit sum equal to \(10\)?
চার অঙ্কের কয়টি সংখ্যা আছে যাদের অঙ্কের যোগফল \(10\)?
Counting Numbers with a Given Digit Sum
Re: Counting Numbers with a Given Digit Sum
There are 219 such 4-digit numbers with digit sum equal to 10.Sujoy Mollick wrote: ↑Sun May 09, 2021 11:24 pmHow many four-digit numbers are there with digit sum equal to \(10\)?
চার অঙ্কের কয়টি সংখ্যা আছে যাদের অঙ্কের যোগফল \(10\)?
1009, 1018, 1027, 1036, 1045, 1054, 1063, 1072, 1081, 1090, 1108, 1117, 1126, 1135, 1144, 1153, 1162, 1171, 1180, 1207, 1216, 1225, 1234, 1243, 1252, 1261, 1270, 1306, 1315, 1324, 1333, 1342, 1351, 1360, 1405, 1414, 1423, 1432, 1441, 1450, 1504, 1513, 1522, 1531, 1540, 1603, 1612, 1621, 1630, 1702, 1711, 1720, 1801, 1810, 1900, 2008, 2017, 2026, 2035, 2044, 2053, 2062, 2071, 2080, 2107, 2116, 2125, 2134, 2143, 2152, 2161, 2170, 2206, 2215, 2224, 2233, 2242, 2251, 2260, 2305, 2314, 2323, 2332, 2341, 2350, 2404, 2413, 2422, 2431, 2440, 2503, 2512, 2521, 2530, 2602, 2611, 2620, 2701, 2710, 2800, 3007, 3016, 3025, 3034, 3043, 3052, 3061, 3070, 3106, 3115, 3124, 3133, 3142, 3151, 3160, 3205, 3214, 3223, 3232, 3241, 3250, 3304, 3313, 3322, 3331, 3340, 3403, 3412, 3421, 3430, 3502, 3511, 3520, 3601, 3610, 3700, 4006, 4015, 4024, 4033, 4042, 4051, 4060, 4105, 4114, 4123, 4132, 4141, 4150, 4204, 4213, 4222, 4231, 4240, 4303, 4312, 4321, 4330, 4402, 4411, 4420, 4501, 4510, 4600, 5005, 5014, 5023, 5032, 5041, 5050, 5104, 5113, 5122, 5131, 5140, 5203, 5212, 5221, 5230, 5302, 5311, 5320, 5401, 5410, 5500, 6004, 6013, 6022, 6031, 6040, 6103, 6112, 6121, 6130, 6202, 6211, 6220, 6301, 6310, 6400, 7003, 7012, 7021, 7030, 7102, 7111, 7120, 7201, 7210, 7300, 8002, 8011, 8020, 8101, 8110, 8200, 9001, 9010, 9100.
Thank you.
- sakib17442
- Posts:15
- Joined:Sun Apr 11, 2021 10:04 pm
- Contact:
Re: Counting Numbers with a Given Digit Sum
Can you please show us your mathematical process for this problem or programming source code?
Games You can't win because you'll play against yourself.
---Dr.Seuss
---Dr.Seuss
- Anindya Biswas
- Posts:264
- Joined:Fri Oct 02, 2020 8:51 pm
- Location:Magura, Bangladesh
- Contact:
Re: Counting Numbers with a Given Digit Sum
Can't post a thing, please fix this bug. For the problem above, use stars and bars formula.
"If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is."
— John von Neumann
— John von Neumann