Question

ashely was born on 12/22/2001. how many eight-digit codes could she make using digits in her birthday?

Answer 1

We have 8 digits:

`1,2,2,2,2,0,0,1`

So, the number of combinations is:

`C=8!=40320`

However:

2 is repeated 4 times

0 is repeated 2 times

1 is repeated 2 times

Therefore:

`T=(40320)/(4!\cdot2!\cdot2!)=420`

Answer:

420