The Student Government Association with fifteen (15) members…

The Student Government Association with fifteen (15) members must elect a four (4) person executive committee consisting of a president, vice-president, treasurer, and secretary.  PART A (5 points): Which counting rule applies for this problem: Basic Counting, Combinations, or Permutations?  Give a reason to support your answer.  HINT!  What specific wording the problem helped you decide which rule to use? PART B (5 points): How many executive committees are possible?  DIRECTIONS for SHOWING WORK: Show all relevant steps, including any formulas or mathematical procedures you use, so it’s clear how you obtained your answer. Use the EQUATION EDITOR to type all mathematical expressions, equations, and formulas. ________________________________________________________ Chapter 4 Counting Formulas n!=n*(n-1)*(n-2)*…*3*2*1{“version”:”1.1″,”math”:”n!=n*(n-1)*(n-2)*…*3*2*1″} Prn=n*(n-1)*(n-2)*…(n-r+1){“version”:”1.1″,”math”:”Prn=n*(n-1)*(n-2)*…(n-r+1)”} Prn=n!(n-r)!{“version”:”1.1″,”math”:”Prn=n!(n-r)!”} Crn=PrnPrr{“version”:”1.1″,”math”:”Crn=PrnPrr”} Crn=n!(n-r)!*r!{“version”:”1.1″,”math”:”Crn=n!(n-r)!*r!”}

Students were surveyed and asked which myLearning notificati…

Students were surveyed and asked which myLearning notification system they used: Brightspace Pulse APP, Text Messages, or Email Notifications.  The Venn Diagram below shows the results: PART A (5 points): How many total students participated the survey?  Show all relevant work (i.e., your calculations, not just the final answer). PART B (5 points): How many students use the Brightspace Pulse App.  Show all relevant work (i.e., your calculations, not just the final answer). PART C (5 points): How many students use exactly two notification systems?  Show all relevant work (i.e., your calculations, not just the final answer).  PART D (5 points): How many students use at least two notification systems?  Show all relevant work (i.e., your calculations, not just the final answer). PART E (5 points): If one student who participated in the survey was chosen at random, find the probability that student would use the Brightspace Pulse App.  DIRECTIONS FOR SHOWING WORK: Show all relevant steps, including any formulas or mathematical procedures you use, so it’s clear how you obtained your answer. Use the EQUATION EDITOR to type all mathematical expressions, equations, and formulas. Write your final answer as a decimal rounded to the third decimal place as needed.