Sujoy Mollick wrote: ↑Sun May 09, 2021 11:24 pm
How many four-digit numbers are there with digit sum equal to \(10\)?
চার অঙ্কের কয়টি সংখ্যা আছে যাদের অঙ্কের যোগফল \(10\)?
There are 219 such 4-digit numbers with digit sum equal to 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.