Q: How many 4-digit numbers are there with no digit repeated?

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There are 5! = 120 such numbers.

There are 4 possible numbers if the digits are not repeated; 18 if they are. Those are 3-digit numbers, assuming that zero would not be a leading digit. If zero is allowed for a leading digit, then you can have 6 for the non repeated, and 27 if repetition.

738 numbers

There are 5760 such numbers.

1 set

Related questions

757

720 (10*9*8)

823543

625 if numbers can have leading 0s, 500 otherwise.

9x9x8x7x6x5x4x3 =1632960

There are 5! = 120 such numbers.

81

9x9x8x7x6x5 = 81x56x30 = 136080

There are 4 possible numbers if the digits are not repeated; 18 if they are. Those are 3-digit numbers, assuming that zero would not be a leading digit. If zero is allowed for a leading digit, then you can have 6 for the non repeated, and 27 if repetition.

162

27 three digit numbers from the digits 3, 5, 7 including repetitions.

There are a handful of six digit numbers that have no numbers repeating. Some examples are 123456, 234567, 345678, 456789, 567012, 654321, 765432, 876543, and 987654.