Question

how many 4 digit numbers can be made with 3,4,5,6 ? repetition not allowed

please write the numbers​

Answer 1

Answer:

3456

6534

4356

5463

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Answer 2

Answer:

24 numbers

Numbers are:

3456,3465,3645,3654,3546,3564,

4356,4365,4536,4563,4653,4635,

5346,5364,5436,5463,5634,5643,

6345,6354,6435,6453,6534,6543.

Step-by-step explanation:

When 3 is fixed then the other 3 numbers can be rearrange in 3! = 6 ways

3456

3465

3645

3654

3546

3564

When 4 is fixed then the other 3 numbers can be rearrange in 3! = 6 ways

4356

4365

4536

4563

4653

4635

When 5 is fixed then the other 3 numbers can be rearrange in 3! = 6 ways

5346

5364

5436

5463

5634

5643

When 6 is fixed then the other 3 numbers can be rearrange in 3! = 6 ways

6345

6354

6435

6453

6534

6543

Hence, total 4×6 = 24 numbers can be made when repetition not allowed.