a. the number of ways of choosing a president vice-president and secretary/treas

a. the number of ways of choosing a president vice-president and secretary/treasurer. b. the number of ways of choosing a leadership team composed of 2 members. c. the number of ways of choosing a president vice-president and secretary/treasurer given the president and secretary must be a female. 2. A grocery store is arranging the Coke and Pepsi products for display on one row of shelving. The store carries 5 Coke products (Coke Classic Diet Coke Caffeine Free Coke Classic Spite and Coca-Cola Zero) and 7 different Pepsi products (Pepsi Diet Pepsi Pepsi Vanilla Pepsi Twist Pepsi Lime Wild Cherry Pepsi and Pepsi One). How many different ways can these drinks be arranged so that all of the Coke products are together and all of the Pepsi products are together? 3. A company that employees 6 managers 15 clerical workers and 23 warehouse personnel is relocating and wants to create a committee that has representatives from each group to oversee the process. How many different ways can they select 2 managers 4 clerical workers and 7 warehouse personnel to serve on this committee? Survey Data ApplicationA local television station sent out questionnaires to determine if viewers would rather see a documentary an interview show or reruns of a game show. There were 700 responses with the following results:210 were interested in an interview show and a documentary but not reruns.28 were interested in an interview show and reruns but not a documentary.98 were interested in reruns but not an interview show.168 were interested in an interview show but not a documentary.70 were interested in a documentary and reruns.42 were interested in an interview show and reruns.56 were interested in none of the three.Create a Venn Diagram to organize this data using MathGV or MSPaint. You must copy and paste your diagram into this assignment to receive credit. 1. How many viewers are only interested in seeing an interview? 2. How many viewers are interested in seeing all three types of programs? 3. How many viewers are interested in seeing exactly one kind of show?