Question
a. The number of ways to select a president, a vice president, and a secretary is
Ask by Newton Turnbull. in the United States
Jan 22,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
To find the number of ways to select a president, a vice president, and a secretary, you need to know the total number of people available. If there are
people, the number of ways is
.
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Mind Expander
Imagine you have a club with a group of enthusiastic members, and you want to choose a president, a vice president, and a secretary. For the president, you have the freedom to pick anyone, let’s say there are 10 members; that gives you 10 glowing choices! Once you have chosen a president, only 9 remain for the vice president’s spot, and then just 8 for the secretary. So, you multiply those choices together: 10 * 9 * 8 = 720 ways to select this trio!
Now, thinking about real-world applications, this selection process mirrors situations in businesses or schools where leadership roles must be filled. Understanding permutations helps teams efficiently allocate roles or plan events where specific positions carry distinct responsibilities. It’s like assembling your dream team, ensuring you have the best people in place to drive the mission forward. How cool is that?