Question

A corporation has 7 members in its board of directors. In how many different ways can the board elect a president, vice president, secretary, and treasurer?

Answer 1

The number of different ways to elect a president, vice president, secretary, and treasurer from a board of 7 members is 840.

Step-by-step explanation:

The number of different ways to elect a president, vice president, secretary, and treasurer from a board of 7 members can be found using the concept of permutations.

First, there are 7 choices for the president. Then, once the president is chosen, there are 6 choices for the vice president. After the president and vice president are chosen, there are 5 choices for the secretary. Finally, after the president, vice president, and secretary are chosen, there are 4 choices for the treasurer.

Using the concept of permutations, the total number of different ways to elect these positions is calculated as:

Number of ways = 7 * 6 * 5 * 4 = 840.