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 positions be filled
5P3 = 60
To find the number of ways to fill the positions of president, vice-president, and treasurer, we can use the concept of permutations.
First, let's consider the position of the president. There are 5 members in the club, so we have 5 options for the president position.
Once the president is chosen, we move on to the position of the vice-president. Since one member has already been selected as the president, we have 4 remaining members to choose from for the vice-president position.
Finally, for the treasurer position, after the president and vice-president have been chosen, we are left with 3 members to choose from.
To find the total number of ways to fill these positions, we multiply the number of options for each position together:
Number of ways = 5 (options for president) * 4 (options for vice-president) * 3 (options for treasurer)
Therefore, the number of different ways to fill these positions is 5 * 4 * 3 = 60.