How many different three person study groups can be formed from a class of nineteen students?

Question

Question

math Statistics-And-Probability

Answer 1

Answer #1

We have to select 3 persons from a class of 19 students.

hence the number of different three person study groups can be formed from a class of nineteen students

19C3
= 19!/ (3!*(19-3)!)
= 19!/(3!*16!)
= (19*18*17)/(3*2)
= 969

Answer 2

Similar Homework Help Questions

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...
How many different committees can be formed from 8 teachers and 33 students ifIn how many...

How many different committees can be formed from 8 teachers and 33 students ifIn how many ways can the committee of 6 members be selected? the committee consists of 4 teachers and 2 students?
16) In how many ways can you select: a) three students from a class of 45...

16) In how many ways can you select: a) three students from a class of 45 to represent the class? b) three different students from the 50 who apply to receive three different scholarships? a shirt and tie, if you have 20 shirts and 10 ties and they all look good together?

QUESTION9 2 points Save Answer Determine how many different committees can be formed if 3 members...

QUESTION9 2 points Save Answer Determine how many different committees can be formed if 3 members must be teachers and 2 members must be students. TTI Path: P words:0 QUESTION 10 2points Save Answer A class committee is to be made that consists of 2 freshmen, 2 sophomores, 3 juniors, and 3 seniors. If students are being randomly chosen from groups of 12 freshmen, 17 sophomores, 16 juniors, and 20 seniors, how many possible committees can be formed? Words QUESTION...
A certain class consists of 7 seniors and 5 juniors. How many groups of students from...

A certain class consists of 7 seniors and 5 juniors. How many groups of students from class can be made of a. 3 seniors and 5 juniors? b. 4 seniors or 4 juniors?
A class has 32 students. In how many different ways can four students form a group...

A class has 32 students. In how many different ways can four students form a group for an activity? (Assume the order of the students is not important.) There are different ways that the four students can form a group for an activity. (Type a whole number.)

Combinations (Counting the Subsets) a) How many different teams of five students can be chosen from...

Combinations (Counting the Subsets) a) How many different teams of five students can be chosen from the 32 students in a class? b)How many of the possible teams would include the youngest student in this class? c)How many of the possible teams would not include the youngest student in this class?
Answer the questions below. (a) How many different committees of size 3 can be formed from...

Answer the questions below. (a) How many different committees of size 3 can be formed from 15 people? (b) There are 17 appetizers available at a restaurant. From these, John is to choose 13 for his party. How many groups of 13 appetizers are possible?
9. A study group is to be selected from a group of 16 students. The group consists of 5 freshmen, 7 sophomores, and 4 juniors. a) In how many ways can a group of 6 students be selected from this gr...

9. A study group is to be selected from a group of 16 students. The group consists of 5 freshmen, 7 sophomores, and 4 juniors. a) In how many ways can a group of 6 students be selected from this group? b) If the study group is to consist of 2 freshmen, 3 sophomores, and 1 junior, how many different groups are possible? c) What is the probability that a group of 6 students will consist of 2 freshmen, 3...

25. Task Assignments How many ways can an adviser choose 4 students from a class of...

25. Task Assignments How many ways can an adviser choose 4 students from a class of 12 if they are all assigned the same task? How many ways can the students be chosen if they are each given a different task?