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In a high school debating team consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors, two students are selected to represent the school at the state debating championship. The rules stipulate that the representatives must be from different grades, but otherwise the 2 representatives are to be chosen by lottery. What is the probability that the students selected will consist one freshman and one sophomore?
A. 1/16
B. 1/8
C. 1/7
D. 1/6
E. 1/4
The OA is D.
I solve this PS question of the following way,
f =2 , s=2 , j=2 and sn=2
total =8 students
2 are to be selected from 8 such that each is different.
total no. of ways to select 2 from 8= 8C2= 28
number of ways 2 are same = 4 (f,s,j,sn )
28-4=24
selecting 1 freshman from 2, and 1 sophomore from 2 = (2C1 x 2C1)/24= 4/24
=1/6.
Please, can anyone explain another way to solve this question? Thanks in advance.
A. 1/16
B. 1/8
C. 1/7
D. 1/6
E. 1/4
The OA is D.
I solve this PS question of the following way,
f =2 , s=2 , j=2 and sn=2
total =8 students
2 are to be selected from 8 such that each is different.
total no. of ways to select 2 from 8= 8C2= 28
number of ways 2 are same = 4 (f,s,j,sn )
28-4=24
selecting 1 freshman from 2, and 1 sophomore from 2 = (2C1 x 2C1)/24= 4/24
=1/6.
Please, can anyone explain another way to solve this question? Thanks in advance.
