1. How many poker hands consist of three cards of one rank and two cards of another rank? (Such a poker hand is called a "full house.")
A poker hand consists of 5 cards selected from a standard deck of 52 cards.
2. How many poker hands consist of two cards of one rank, two cards of another (different) rank, and one card of a third rank? (Such a poker hand is called "two pairs.")
3. How many seven-letter words with no repeated letters contain all five vowels?
4. How many nine-letter words with no repeated letters contain the five vowels in alphabetical order?
A "word" is interpreted to be a sequence of letters.