- #1
ArcanaNoir
- 779
- 4
Homework Statement
From a group of 3 freshman, 4 sophomores, 4 juniors, and 3 seniors, a committee of size 4 is randomly selected. Find the probability that the committee will consist of:
a) 1 from each class
b) 2 sophomores and 2 juniors
c) only sophomores and juniors
Homework Equations
How do you write "x choose n" in latex? For now I'll write (xCn)
The Attempt at a Solution
I figured there (14C4) different committees, giving 1001 committees.
a) [(3C1)(4C1)(4C1)(3C1)]/1001 = 144/1001
b) [(4C2)(4C2)]/1001 = 36/1001
c) 2/1001
Is this correct?