1. 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

2. 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

3. 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