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In Mathematics / High School | 2025-07-08

Using the given digits only once, make all possible 3-digit numbers. Then arrange them in descending order: 6, 5, 9 8, 4, 1 2, 5, 3

Asked by rawrstep2202

Answer (1)

To solve this question, we need to create all possible 3-digit numbers using the given digits and arrange them in descending order. The digits provided are: 6, 5, 9, 8, 4, 1, 2, 3. Note that each digit can only be used once per number.
Let's begin by selecting combinations of three different digits:

965
964
963
962
961
954
953
952
951
943
942
941
932
931
924
921
913
912
865
864
863
862
861
854
853
852
851
843
842
841
832
831
824
821
813
812
654
653
652
651
643
642
641
632
631
624
621
613
612
543
542
541
532
531
524
521
513
512
432
431
421
413
412

Finally, we arrange these numbers in descending order: 965, 964, 963, 962, 961, 954, ..., down to 412.
This process helps to systematically cover all possible 3-digit combinations without repeating any digit within the same number.

Answered by DanielJosephParker | 2025-07-22