A club has 5 members. From these members, the positions of president. Vice - president, and treasurer have to be filled. In how many different ways can these 3 positions be filled.
a permutation problem.
5P3 = 5*4*3 = 60
A club has 5 members. From these members the positions of president and Vice President have to be filled in how many different ways can these 2 positions be filled ?
5•4=20
There are 5 members who could be chosen president.
Once a president is chosen there are 4 members left who could be chosen Vice President
then what is the answer
OObleck is correct
To find the number of different ways the 3 positions can be filled, we can use the concept of permutations.
The position of the president can be filled by any of the 5 members. After the president is chosen, the position of the vice-president can be filled by any of the remaining 4 members. Finally, the position of the treasurer can be filled by any of the remaining 3 members.
Therefore, the number of different ways to fill the 3 positions is:
5 * 4 * 3 = 60
So, there are 60 different ways the positions of president, vice-president, and treasurer can be filled.