From a committee of 10 people,
1. In how many ways can we choose a chairperson, a vice-chairperson, and a secretary, assuming that one person cannot hold more than one position?
2. In how many ways can we choose a subcommittee of 3 people?
3. Find the number of combinations of 13 objects taken 8 at a time.
4. How many 5-card hands will have 3 aces and 2 kings?
5. Serial numbers for a product are to be made using 2 letters followed by 3 numbers. If the letters are to be taken from the first 8 letters of the alphabet with no repeats and the numbers are taken from the 10 digits (0-9) with no repeats, how many serial numbers are possible?
6. A company has 7 senior and 5 junior officers. An ad hoc legislative committee is to be formed. In how many ways can a 4-officer committee be formed so that it is composed of
a. Any 4 officers?
b. 4 senior officers?
c. 3 senior officers and 1 junior officer?
d. 2 senior officers and 2 junior officers?
e. At least 2 senior officers?
1.
2.
3.
4.
5.
6.
a.
b.
c.
d.
e.
Comments