Question

Укажите все трехзначные числа, для записи которых используется только цифры (цифры не могут повторяться)

Answer 1

Ответ:

1) 123,132,213,231,312,321.

2) 102,201,120,210

Answer 2

Three-Digit Numbers Using Unique Digits

To find all three-digit numbers that use only unique digits (i.e., digits cannot be repeated), we can consider the following approach:

1. Identify the Criteria: - A three-digit number is a number between 100 and 999, inclusive. - Each digit in the number must be unique, meaning no digit can be repeated within the number.

2. Finding the Numbers: - We need to find all the three-digit numbers that meet the criteria of having unique digits.

3. Solution: - The numbers that satisfy the given criteria are: - 102, 103, 104, 105, 106, 107, 108, 109, 120, 123, 124, 125, 126, 127, 128, 129, 130, 132, 134, 135, 136, 137, 138, 139, 140, 142, 143, 145, 146, 147, 148, 149, 150, 152, 153, 154, 156, 157, 158, 159, 160, 162, 163, 164, 165, 167, 168, 169, 170, 172, 173, 174, 175, 176, 178, 179, 180, 182, 183, 184, 185, 186, 187, 189, 190, 192, 193, 194, 195, 196, 197, 198, 201, 203, 204, 205, 206, 207, 208, 209, 210, 213, 214, 215, 216, 217, 218, 219, 230, 231, 234, 235, 236, 237, 238, 239, 240, 241, 243, 245, 246, 247, 248, 249, 250, 251, 253, 254, 256, 257, 258, 259, 260, 261, 263, 264, 265, 267, 268, 269, 270, 271, 273, 274, 275, 276, 278, 279, 280, 281, 283, 284, 285, 286, 287, 289, 290, 291, 293, 294, 295, 296, 297, 298, 301, 302, 304, 305, 306, 307, 308, 309, 310, 312, 314, 315, 316, 317, 318, 319, 320, 321, 324, 325, 326, 327, 328, 329, 340, 341, 342, 345, 346, 347, 348, 349, 350, 351, 352, 354, 356, 357, 358, 359, 360, 361, 362, 364, 365, 367, 368, 369, 370, 371, 372, 374, 375, 376, 378, 379, 380, 381, 382, 384, 385, 386, 387, 389, 390, 391, 392, 394, 395, 396, 397, 398, 401, 402, 403, 405, 406, 407, 408, 409, 410, 412, 413, 415, 416, 417, 418, 419, 420, 421, 423, 425, 426, 427, 428, 429, 430, 431, 432, 435, 436, 437, 438, 439, 450, 451, 452, 453, 456, 457, 458, 459, 460, 461, 462, 463, 465, 467, 468, 469, 470, 471, 472, 473, 475, 476, 478, 479, 480, 481, 482, 483, 485, 486, 487, 489, 490, 491, 492, 493, 495, 496, 497, 498, 501, 502, 503, 504, 506, 507, 508, 509, 510,