1. In how many five-digit numbers (without zeros) are the digits strictly increasing when read from left to right?
2. Order In how many four-letter words (including nonsense words) using four different letters from A through J are the letters in alphabetical order?
3. Suppose that license plates from a certain state consist of four different letters followed by three different digits. In how many license plates are the letters in alphabetical order and the digits in increasing order?
4. Suppose that license plates from a certain state consist of two different letters followed by four different digits. In how many license plates are the letters in alphabetical order and the digits in increasing order?
5. A family has 12 members. In how many ways can six family members be seated in a row so that their ages increase from left to right?