Question

If there is a 4 digit code and using the digits 1-4, how many possibilities are there?

Answer 1

64

Explanation:

1

2

3

4

1, 2

1, 3

1, 4

2, 1

2, 3

2, 4

3, 1

3, 2

3, 4

4, 1

4, 2

4, 3

1, 2, 3

1, 2, 4

1, 3, 2

1, 3, 4

1, 4, 2

1, 4, 3

2, 1, 3

2, 1, 4

2, 3, 1

2, 3, 4

2, 4, 1

2, 4, 3

3, 1, 2

3, 1, 4

3, 2, 1

3, 2, 4

3, 4, 1

3, 4, 2

4, 1, 2

4, 1, 3

4, 2, 1

4, 2, 3

4, 3, 1

4, 3, 2

1, 2, 3, 4

1, 2, 4, 3

1, 3, 2, 4

1, 3, 4, 2

1, 4, 2, 3

1, 4, 3, 2

2, 1, 3, 4

2, 1, 4, 3

2, 3, 1, 4

2, 3, 4, 1

2, 4, 1, 3

2, 4, 3, 1

3, 1, 2, 4

3, 1, 4, 2

3, 2, 1, 4

3, 2, 4, 1

3, 4, 1, 2

3, 4, 2, 1

4, 1, 2, 3

4, 1, 3, 2

4, 2, 1, 3

4, 2, 3, 1

4, 3, 1, 2

4, 3, 2, 1

Answer 2

256

Explanation:

For possibilites, use the equation:

`(possible \: digits)^(number \: of \: digits)`

So insert the 4's to get

`4^(4) = 256`