There are 8 executives, including the CEO and CFO, that are asked to form a small team of 5 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?
Choices:
A) 34
B) 35
C) 36
D) 37
E) 38
The total number of ways to form a team of 5 is 8C5=56.   We need to subtract the number of teams that have both the CEO and the CFO.   The number of teams with both the CEO and CFO is 6C3=20.   The number of ways to form an acceptable team is  56-20= 
<gadget id="calculator"> 56-20</gadget>
<output>36</output>
36.   The answer is 36.
<result>C</result>
There are 8 executives, including the CEO and CFO, that are asked to form a small team of 5 members. However, the CEO and CFO may not both be assigned to the team. Given this constraint, how many ways are there to form the team?