SOLUTION: How many three-digit numbers can be formed using the numerals {2, 3, 4, 5, 6, 7} without repetition?

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Question 865062: How many three-digit numbers can be formed using the numerals {2, 3, 4, 5, 6, 7} without repetition?
Found 2 solutions by jim_thompson5910, richwmiller:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
There are 6 numbers in that set given. So there are


6 choices for slot 1
5 choices for slot 2 (6-1 = 5)
4 choices for slot 3 (6-2 = 4)


Which means that there are 6*5*4 = 30*4 = 120 different 3 digit numbers to form (without repetition).

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
120 three digit numbers
765 764 763 762 756 754 753 752 746 745 743 742 736 735 734 732 726 725 724 723
675 674 673 672 657 654 653 652 647 645 643 642 637 635 634 632 627 625 624 623
576 574 573 572 567 564 563 562 547 546 543 542 537 536 534 532 527 526 524 523
476 475 473 472 467 465 463 462 457 456 453 452 437 436 435 432 427 426 425 423
376 375 374 372 367 365 364 362 357 356 354 352 347 346 345 342 327 326 325 324
276 275 274 273 267 265 264 263 257 256 254 253 247 246 245 243 237 236 235 234