Can you help me with these problems in combinations.I dont know if my
solutions are correct.
There are 3 classes,each one with n students.We must select 3 students
from the total of 3n students.
i)How many are the possible choices?
The possible choices are:C(n,3)*C(n,0)*C(n,0)*3 + C(n,2)*C(n,1)*C(n,0)*3! +
ii)How many are the possible choices,if the 3 students belong to the
iii)How many are the possible choices,if 2 of the 3 students belong to
the same class and the third to a different class?C(n,2)*C(n,1)*C(n,0)*3!
iv)How many are the possible choices,if the 3 students belong to a
v)Use your answers i)-iv) to expand C(3n,n)I dont know this one
A number of n students attend the lecture of probabilities.The array
with the results of the final exam includes only the names of the
students that passed the lesson in descending order.We assume that there
arent any students with the same grade.How many are the possible
We put the hats of n persons in a box.Then each person randomly chooses
a hat from the box.Find the probability that n-2 persons
will accurately choose their own hat.
I guessed that n-2 persons choose acurately their own hat is the
with: 1 - 2 persons dont take their own hat
=[1 - C(n,1)*(n-1)!+C(n-1,1)*(n-2)!] / n!
=[1-n!+(n-1)!]n!?????i’m not sure??????
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Every single one of your posts so far have been related to your homework
problems… You have been just asking for answers and solutions to your
problems. If you helped others or posted something different once in a
while, I’m sure more members would be prone in trying to help you.