Assignment:
Q1. A seven-person committee composed of Adam, Betty, Cameron, David, Edward, Fritz, and Grace is to select a chairperson, secretary, and treasurer. How many selections are there where Betty is the chairperson, and Adam and Edward are not officers?
- 12
- 20
- 24
- 210
- None of the above
Q2. A seven-person committee composed of Adam, Betty, Cameron, David, Edward, Fritz, and Grace is to select a chairperson, secretary, and treasurer. How many selections are there where Adam, Cameron and Grace are not officers?
- 210
- None of the above
- 12
- 20
- 24
Q3. A standard deck of cards contains 52 cards. The cards are evenly divided into four suits (spades, clubs, diamonds, and hearts) with 13 cards in each suit (A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K). Find the number of (unordered) five-card poker hands that contain a full house (three of a kind and a pair).
- 624
- 3,744
- 7,488
- 44,928
- None of the above