**Election of Officers in a Committee****Question 4**There is a committee made up of five members. How many ways can they select a president, a vice president, and a secretary?- 20- 60- 10- None of these answers**Explanation:**To solve this problem, consider the number of choices available for each position:1. **President:** There are 5 possible choices for the president because all 5 members are eligible.2. **Vice President:** After the president is selected, 4 members remain, so there are 4 choices for the vice president.3. **Secretary:** After selecting the president and vice president, 3 members remain, leaving 3 choices for the secretary.Calculate the total number of ways to select the officers by multiplying the number of choices for each position:\[ 5 \times 4 \times 3 = 60 \]Thus, there are 60 different ways to select a president, a vice president, and a secretary. Therefore, the correct answer is **60**.

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Question 4 There is a committee made of five members. How many ways can they select a president, a vice president and a secretary? 20 60 10 Onone of these answers

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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