Common Information
There are $5$ freshmen, $8$ sophomores, and $7$ juniors in a chess club. A group of $6$ students will be chosen to compete in a competition.
Q1. 
Common Information Question: 1/4 How many combinations of students are possible if the group is to consist of exactly 3 freshmen? 
A.  5000 

B.  4550 

C.  4000 

D.  3550 
Q3. 
Common Information Question: 3/4 How many combinations of students are possible if the group is to consist of an equal number of freshmen, sophomores, and juniors? 
A.  5880 

B.  6880 

C.  7880 

D.  8880 
Q4. 
Common Information Question: 4/4 How many combinations of students are possible if the group is to consist of all members of the same class? 
A.  20 

B.  25 

C.  30 

D.  35 
Q5. 
How many ways can 4 prizes be given away to 3 boys (one boy can receive 1 prize), if each boy is eligible for all the prizes? 
A.  256 

B.  24 

C.  12 

D.  None of these 