a. For the three corporate leader positions (class president, vice president, and entertainment director), there are 8 candidates to choose from. Since each position must be filled by a different candidate, the first position can be filled by any of the 8 candidates, the second position can be filled by any of the remaining 7 candidates, and the third position can be filled by any of the remaining 6 candidates. Therefore, the number of different ways the corporate leaders can be appointed is:
8 * 7 * 6 = 336
b. For the planning committee, we can choose any number of members, including 0 (in case the committee is not appointed). Since lenders can also serve on the planning committee, we have the following possibilities for the committee size:
1. 0 members (empty committee)
2. 1 member (can be any of the 8 candidates or a lender)
3. 2 members (can be any combination of the 8 candidates and/or lenders; order doesn't matter)
4. 3 members
5. 4 members
6. 5 members
7. 6 members
8. 7 members
9. 8 members (all candidates and lenders included)
Therefore, there are a total of 9 different ways the committee can be appointed.
in the class must appoint three corporate leaders; the class president ,the vice president and the entertainment director.it must also appoint a planning commitee with different members .there are 8 qualified candidate , and lenders can also serve on the planning committee. a. how many different ways can the Leader be appointed? b.how may different can the committee be appointed ?
1 answer
1 answer