Question 3 Bo/1 pt O Details An organization has 13 math majors, 19 computer science majors, 9 engineering majors, and & education majors making up its 49 total students. (There are no double majors in this organization.) They wish to create a fund-raising committee consisting of 5 members, including one member who is designated as chair of the committee. 1. How many choices are there for the fund-raising committee, including the designation of chair? (The same five students with a different designated chair is considered a different choice.) 2. In how many of these choices is the committee chair a mathematics major? Question 4 Go/1 pt O Details At a certain regional university, all the students taking discrete mathematics are from Pennsylvania, Maryland, or New Jersey. There are 16 students from Pennsylvania, 16 students from Maryland, and 14 students from New Jersey. The instructor is looking for 6 volunteers to help out with a campus event for local school children. 1. How many choices are there for this volunteer group? 2. In what percentage of these choices are Pennsylvanians, Marylanders, and New Jerseyans equally represented! Enter your answer a percentage rounded to the nearest one decimal place. Do not type the R sign. Question 5 G 1/1 pt O Details What is the exact numerical value of C(8, 4)? 70 Enter your answer os an integer. Question 6 Bo/1 pt O Details What is the value of _ C(9, 26)? Enter your answer os on integer. X Question 7 Go/1 pt O Details The thirty-two students in a certain discrete mathematics class all live in one of three dorms on campus: 11 Live in Harley Hall, 14 live in Kieffer Hall, and 7 live in Naugle Hall. The professor wants to form a group of six students for a special project. 1. How many choices are there for the group? 951 2. In how many of these possibilities do all the students live in the same dorm? 2205 3. what percentage of the total possibilities does the number in Part 2 amount to? .79 Write your answer as a percentage, rounded to the nearest tenths place digit, but do not include the symbol in the box.The thirty-two students in a certain discrete mathematics class all live in one of three dorms on campus: 11 live in Harley Hall, 14 live in Kieffer Hall, and 7 live in Naugle Hall. The professor wants to form a group of six students for a special project. 1. How many choices are there for the group? 951 2. In how many of these possibilities do all the students live in the same dorm? 2205 3. What percentage of the total possibilities does the number in Part 2 amount to? .79 Write your answer as a percentage, rounded to the nearest tenths place digit, but do not include the symbol in the box. Question 8 Go/1 pt O Details The twenty-eight students in a certain discrete mathematics class all live in one of three dorms on campus: live in Harley Hall, 10 live in Kieffer Hall, and 9 live in Naugle Hall. The professor wants to form a group of four students for a special project. 1. How many choices are there for the group? 2. In how many of these possibilities are all three dorms represented among members of the group? 3. what percentage of the total possibilities does the number in Part 2 amount to? Write your answer as a percentage, rounded to the nearest tenths place digit, but do not include the symbol in the box. Question 9 Go/1 pt O Details 1. How many binary sequence of length 9 contain at most 2 ones? 2. How many binary sequence of length 10 contain at least & ones? Question 10 Go/1 pt O Details 1. How many 4-digit numbers have all their digits in increasing order? 2. How many of these end with either an 8 or 9 as the rightmost digit? Question 11 Go/1 pt O Details 1. How many binary sequences of length five have exactly two ones? . We can represent the toss of five ordinary dice as an ordered list of length five with elements from (1, 2, 3, 4, 5, 6). In how many of these outcomes do exactly two ones appear? (For example, 5, 1,2,2,1 should be counted.)