A committee of 4 students is to be selected from 11 students in a fraternity. a....

Question

Question

A committee of 4 students is to be selected from 11 students in a fraternity. a. In how many ways can this be done? b. In how

Answer 1

Answer #1

Please don't hesitate to give a "thumbs up" for the answer in case the answer has helped you

a.

4 are choosen out of 11.

The number of ways this can be done is 11C4 = 11!/4!7! = 330

Answer: 330

b.

7 will not be choosen.

So, The number of ways this can be done is 11C7 = 11!/4!7! = 330

Answer: 330

Add a comment

Answer 2

Similar Homework Help Questions

A committee of 4 is selected from a group of 9 faculty and 45 students. In...

A committee of 4 is selected from a group of 9 faculty and 45 students. In how many different ways can the committee be selected if it must consist of one faculty and three students?
(A) How many ways can a 4-person subcommittee be selected from a committee of 6 people?...

(A) How many ways can a 4-person subcommittee be selected from a committee of 6 people? (B) How many ways can a president, vice-president, secretary, and treasurer be chosen from a committee of 6 people? (A) The number of ways to select a 4-person subcommittee is (B) The number of ways to choose a president, vice-president, secretary, and treasurer is I. Enter your answer in each of the answer boxes. JUL 2 11 31 W MacBook Pro
How many different committees can be formed from 11 teachers and 44 students if the committee...

How many different committees can be formed from 11 teachers and 44 students if the committee consists of 2 teachers and 3 students A group of campers is going to occupy 5 campsites at a campground. There are 17 campsites from which to choose. In how many ways can the campsites b There are_________possible ways to choose the campsites. Suppose there is a list of six jokes about marriage and divorce. In how many ways can people select their three...

At a high school, a committee is created to organize fun activities. A committee of 8...

At a high school, a committee is created to organize fun activities. A committee of 8 is to be chosen from the following groups: 5 teachers, 14 Senior students and 11 Junior students. In how many ways can this be done if: a) a representative from each group must be on the committee b) the committee must have at most 2 junior students c)Bill, Kathy and Mary, three of the senior students, have decided that either all three will serve...
A student club consists of 9 girls and 11 guys. A committee of 8 is to...

A student club consists of 9 girls and 11 guys. A committee of 8 is to be selected. In how many ways can this be done if A. the committee must have at least 7 girls on it B. three officers ( president, vice president, secretary/treasurer are selected from All members.
Can you help me solve these: 6. From 10 mathematics students, four are chosen to represent...

Can you help me solve these: 6. From 10 mathematics students, four are chosen to represent a math symposium. In how many ways can this be done with no restrictions? A) 210 B) 120 C) 200 D) 126 E) 160 7. From a group of 10 boys and 8 girls, 6 students are chosen at random. How many of these selections consist of exactly four girls? A) 18564 B) 3150 C) 115 D) 225 E) 18500 8. From 14 mathematics...

Use the Basic Counting Law, Permutations, or Combinations to answer the following: 1. a group of...

Use the Basic Counting Law, Permutations, or Combinations to answer the following: 1. a group of 3 students is to be selected from a group of 12 students to take part in a class in cell biology. a.)in how any ways can this be done? b.) in how many ways can the group which will not take part be chosen?
3). In how many ways can 6 students be seated in a row of 6 chairs...

3). In how many ways can 6 students be seated in a row of 6 chairs if Jack insists on sitting in the first chair? 4). A president, a treasurer, and a secretary are to be chosen from a committee with forty members. In how many ways could the three officers can be chosen? 5). In how many ways can 7 books be chosen from a group of nine? 9). Suppose that a department contain 13 men and 15 women....
8). A school dance committee is to consist of 2 freshman, 3 sophomores, 4 juniors, and...

8). A school dance committee is to consist of 2 freshman, 3 sophomores, 4 juniors, and 5 seniors. If 7 freshman, 7 sophomores, 7 juniors, and 9 seniors are eligible to be on the committee, in how many ways can the committee be chosen? 7). 13 players for a softball team show up for a game: a. How many ways are there to choose 10 players to take the field? b. How many ways are there to assign the 10...

Suppose we want to choose 4 letters, without replacement, from 17 distinct letters. (a) How many...

Suppose we want to choose 4 letters, without replacement, from 17 distinct letters. (a) How many ways can this be done, if the order of the choices is not taken into consideration? x 6 ? (b) How many ways can this be done, if the order of the choices is taken into consideration? A teacher wanted to fairly choose three students from a class of 24 to raise the school's flag. He assigned each student a two-digit number from 01...