- #1
tangodirt
- 54
- 1
Homework Statement
A president, treasurer, and secretary, all different, are to be chosen from among the 10 active members of a university club. How many different choices are possible if:
a) There are no restrictions.
b) A will serve only if she is the treasurer.
c) B and C will not serve together.
d) D and E will serve together or not at all.
e) F must be an officer.
Homework Equations
N/A
The Attempt at a Solution
For part (a): 720 combinations.
For part (b): 72 combinations.
For part (c): 448 combinations.
For part (d): 8 combinations.
For part (e): 72 combinations.
Are any of these answers correct? I am wary about the answer for part (d), but please let me know which ones might be wrong and I will explain my methodology. Thanks!