SOLUTION: I hope you can help me with this problem: A ski trip at the school has been arranged. There are 30 students that have paid for the trip and 6 parnts that have volunteered to cha

Question 63104: I hope you can help me with this problem:
A ski trip at the school has been arranged. There are 30 students that have paid for the trip and 6 parnts that have volunteered to chaperone. To transport the students and parents easily they are to be divided into two groups. One group has 10 students and 2 parents, and the other group has 20 students and 4 parents.
A) How many different groups of ten students can be formed?
B) How many diffeent groups consisting of 10 students and 2 parents are posible?
C) Kelly is one of the students going on the trip, and Kelly's mother is a chaperone. Kelly's mother would prefer to be in the smaller group and not in the same group as Kelly. If this wish is honoured, how many ways can the smaller group and its chaperone be chosen?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A ski trip at the school has been arranged. There are 30 students that have paid for the trip and 6 parnts that have volunteered to chaperone. To transport the students and parents easily they are to be divided into two groups. One group has 10 students and 2 parents, and the other group has 20 students and 4 parents.
A) How many different groups of ten students can be formed?
30C10= 30,045,015
----------------------
B) How many diffeent groups consisting of 10 students and 2 parents are posible?
(30C10)*(6C2)=450,675,225
------------------------
C) Kelly is one of the students going on the trip, and Kelly's mother is a chaperone. Kelly's mother would prefer to be in the smaller group and not in the same group as Kelly. If this wish is honoured, how many ways can the smaller group and its chaperone be chosen?
# of ways to choose 2 parents if Kelly's mom is one of them= 1*5=5
# of ways to choose 10 students if Kelly is excluded= 29C10
# ways to meet both conditions: 5(29C10)=5*20,030,010=100,150,050
Cheers,
Stan H.
RELATED QUESTIONS
This is a word problem involving ratios that I have been struggling with for a couple of... (answered by Earlsdon)

Hello, I need help on a word problem I don't understand. Thank you in advance! 28... (answered by josgarithmetic)

I hope you can help me. I am having a little trouble with this word problem. " A ski... (answered by checkley71)

My question is on solving word problems. Wilson High School has 400 students, 20% of... (answered by josmiceli)

I have to come up with my own system of equations with two variables (x,y). I am starting (answered by stanbon)

Hi there. I am in grade 10 and I always have trouble with geometry. I have a question in... (answered by Edwin McCravy)

A bus trip of 450 km would have taken 1 hour less if the average speed for the trip had... (answered by stanbon)

You have borrowed $200000 at 7% p.a taken over 25 years a)How much is the standard... (answered by xcentaur)

A youth group with 26 members is going on a skiing trip. Each of the 5 chaperones will... (answered by KMST)