You may want to read Permutations and Combinations before doing this worksheet.

- Evaluate:
a. 8 C 5 b. 9 C 3 c. 9 C 6 d. 7 C 7 e. 5 C 3 - Evaluate
(
^{1999}_{1000}) − (^{1999}_{ 999 }) - In a class of thirty students, three are to be selected for the students' council. How many different ways are there of selecting these students?
- In the game of poker, each player is dealt a hand of five cards. How many different poker hands are there?
- In Lotto 6/49, six numbers are drawn out of a pool of 49. How many different combinations of the six winning numbers are there?
- How many five-person committees can be selected from six men and eight women if there must be at least one woman included? (Very helpful hint: If there were no restrictions, how many committees would contain no women?)