There are 9 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?
Choose the correct option.
A) 85  B) 87  C) 89  D) 91  E) 93
The total number of ways to form a team of 5 is 9C5=126.   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 7C3=35.   The number of ways to form an acceptable team is  126-35= 
<gadget id="calculator"> 126-35</gadget>
<output>91</output>
91.   The answer is 91.
<result>D</result>
There are 9 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?