Q: How many four digit numbers can you make using the digits 1234 and the 2 and 3 must be next to each other?

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Using the digits of 1345678, there are 210 three digit numbers in which no digit is repeated.

You can select 9 numbers for the first digit, 8 numbers for the second digit, and 7numbers for the third digit; so 504 (e.g. 9*8*7) different three digit numbers can be written using the digits 1 through 9.

95

If repetition of digits isn't allowed, then no13-digit sequencescan be formed from only 5 digits.

24 different numbers.

Related questions

Using the digits of 1345678, there are 210 three digit numbers in which no digit is repeated.

34, 45 etc.

There are 60480 numbers.

2

You can select 9 numbers for the first digit, 8 numbers for the second digit, and 7numbers for the third digit; so 504 (e.g. 9*8*7) different three digit numbers can be written using the digits 1 through 9.

24

There are 900 of them.

95

If repetition of digits isn't allowed, then no13-digit sequencescan be formed from only 5 digits.

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.

You have seven different digits (symbols) to choose from, so you can form seven different one digit numbers and 7×7=72=49 different two digit numbers.

24 different numbers.