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Selecting Council Members The presidents, vice pr…

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62 Problem 63 Problem 64 Problem 65 Problem 66 Problem 67 Problem 68 Problem 69 Problem 70 Problem 71 Problem 72

Problem 65 Hard Difficulty

Selecting Officers In a board of directors composed of 8 people, how many ways can one chief executive officer, one director, and one treasurer be selected?

Answer

336

Related Courses

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Chapter 4

Probability and Counting Rules

Section 4

Counting Rules

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Sampling and Data

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Probability and Counting Rules

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Video Transcript

In this problem, the board of directors has to select one chief executive officer, one director on Van Cheshire. So they had to select three people off eight people. Let's write a both statement in expression me that these eight being are these three. So we had to select three people out off eight people. I'm particularly in this problem. We had to follow the although that is one Chief Executive officer one director are one treasure. So number off limitations can be formed, That is, and we are equal toe in factorial, divided by end minus artifact Dorian and Equal Toe eight and are equal toe three. Now let's substitute the values off and on are in able formally it be three equal to In Factorial is eight factorial delighted by and minus R factorial is eight minus refectory in so eight factorial is eight in tow. Seven in tow, six in tow, five factorial. Do you want it by eight Minus three is five factorial Now we will cancer both five factorial in numerator and denominator now V how eight in tow. Seven in tow. Six. So we will get 3 36 waste are there to select three people out off eight people

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Elementary Statistics a Step by Step Approach

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