Question

Twelve students are in a campus organization. Eight of the students are juniors, and four are...

Twelve students are in a campus organization. Eight of the students are juniors, and four are seniors. They need to pick a group of five students to represent their organization at freshman orientation. How many different ways can they pick this group, if at least two of the students must be juniors?

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

12 students

8 are juniors

4 are seniors

5 students to pick up randomly

number of ways these 5 students are picked in such ways that atlest two or the student are junior = ?

n(atleast 2 are junior) = n(total) - n(less than 2 are junior)

n(atleast 2 are junior) = n(total) - n(no juniors) - n(1 junior)

we can not pick 5 students with no juniors so n(no juniors) = 0

n(atleast 2 are junior) =

n(atleast 2 are junior) =

n(atleast 2 are junior) =11*9*8 - 8

n(atleast 2 are junior) =792-8 = 784

Please hit thumbs up if answer helped you

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
This year, there are eight freshmen, ten sophomores, seven juniors, and eight seniors are eligible to...
This year, there are eight freshmen, ten sophomores, seven juniors, and eight seniors are eligible to be on a committee. In how many ways can a dance committee of 8 students be chosen?    ways In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors. ways In how many ways can a dance committee be chosen if it is to consist of 4 juniors and...
We have 18 students: 3 seniors, 5 juniors, 4 sophomores, and 6 freshmen in a class....
We have 18 students: 3 seniors, 5 juniors, 4 sophomores, and 6 freshmen in a class. We want to form a student organization to represent the students. The student organization is composed of 8 students. We want to select 8 random students (ignoring their class rank for now). How many possible combination is there to form an organization? Incorrect. Tries 1/2 Previous Tries If we choose 8 students randomly, there is a problem because we could have, for example, 3...
A group of college students contains 7 seniors and 8 juniors. a) In how many ways...
A group of college students contains 7 seniors and 8 juniors. a) In how many ways can 3 individuals from this group be chosen for a committee? b) In how many ways can a president, vice president, and secretary be chosen from this group? c) Suppose instead, there are n seniors and m juniors, for some nonnegative integers n and m. c-1) In how many ways can k individuals from this group be chosen for a committee, for nonnegative integer...
Identifying Permutations and Combinations Directions:Identify each situation below as describing a permutation, combination, or neither. Then...
Identifying Permutations and Combinations Directions:Identify each situation below as describing a permutation, combination, or neither. Then evaluate, simplifying completely. 1.I need to pick four students to represent our class on student council. In how many ways can I do this from our class of seven students? 2.I need to pick three different students to serve as the class president, secretary, and treasurer. In how many ways can I do this from our class of seven students?3.I need to pick five...
Suppose you teach a class of twelve students that you wish to assign to three groups...
Suppose you teach a class of twelve students that you wish to assign to three groups of four students each. In how many different ways can groups be made?
A committee of 4 people to be formed from a pool of 15 students ( 7...
A committee of 4 people to be formed from a pool of 15 students ( 7 Seniors and 8 Juniors). In how many ways can that be done knowing that every committee must have at least one Senior student? a) C(14,3) b) C(14,4) - 1 c) C(7,1) + 3 d) None of the above I counted the cases: 1 Senior 3 Juniors 2 Seniors 2 Juniors 3 Seniors 1 Junior 4 Seniors 0 Juniors C(7,1) x C(8,3) + C(7,2) x...
A class has 29 students. In how many different ways can four students form a group...
A class has 29 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.
Eight prizes are to be given to eight different people in a group of eighteen. In...
Eight prizes are to be given to eight different people in a group of eighteen. In how many ways can a first prize, a second prize, a third prize and five fourth prizes be given? how many ways
In how many ways could eight students be placed into two groups of any size,as long...
In how many ways could eight students be placed into two groups of any size,as long as there are at least two in a group?Explain your reasoning.
You must choose four administrators from a group of 10 and four students from a group...
You must choose four administrators from a group of 10 and four students from a group of 20. In how many ways can this happen?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT