# Combinatorics

posted by .

In how many ways can 8 students be assigned to 2 groups if each group must have at least 3 students?

• Combinatorics -

so the groups could be 3,5 ; 4,4 ; or 5,3

for a total of C(8,3)xC(5,5) + C(8,4)xC(4,4) + C(8,5)xC(3,3)
= 56 + 70 + 56 = 182

I am assuming that the two groups can be distinguished.
If not, then it would simply be 56+70

## Similar Questions

1. ### math, help

I need help or hint on the setup: what is the probability that at least 2 students in a class of 36 have the same birthday?
2. ### English

1. A group of students help the sick. 2. A group of students helps the sick. (What is the difference between the two sentence?
3. ### math logic

A group of five students needs to break into two smaller groups in order to tackle the two different assignments associated with a larger group project. Naturally, they feel that it would be most fair to break into groups of two and …
4. ### Math

A class has 12 students. In how many different ways can the students be put into lab groups consisting of 3 students in each group. The answer in the book is 369600. But I do not understand how they got this answer.
5. ### math

There are 6 boys and 8 girls in a group of students. Calculate the number of ways that a committee of 3 students which has at least 1 girl can be selected from the group. Please show your work.
6. ### Data management

1) In how many ways can 12 distinct objects be separated into three equal piles?
7. ### Math (Combinatorics)

40 students attended the brilliant summer camp at Stanford University. "k" of the students at the camp are working on math problems and the others are working on non-math problems. One of the camp mentors noticed that whenever all …
8. ### Math

Q. A teacher divides 36 students into equal groups for a scavenger hunt. Each group should have at least 4 students, but no more than 8. What are the group's possible sizes?
9. ### Math

A teacher divides 36 students into equal groups for a scavenger hunt . Each group should have at least 4 students but no more than 8 students , what are the possible group sizes ?
10. ### maths

A class of 50 students has to perform exercises in groups of 2 OR 3 students. The numberof groups with 2 students is the same as the number of groups with 3 students. a) How many groups of 2 students and 3 students can be formed?

More Similar Questions