a parent teacher committee consisting of 4 people is to be formed from 14 parents and 5 teachers. find the probability that the committee will consist of these people. assume that the selection will be random.
PART 1- 1 teacher and 3 parents
PART 2- All parents

Question

a parent teacher committee consisting of 4 people is to be formed from 14 parents and 5 teachers. find the probability that the committee will consist of these people. assume that the selection will be random. 
PART 1- 1 teacher and 3 parents
PART 2- All parents

anonymous · Answer

Hi :) Well since we know that order doesn't matter, we will be using C instead of P in this case!

So PART 1: we choose 1 teacher from 5 and 3 parents from 14. 
5C1 + 14C3 = ?
I trust you have a calculator, do try punching in the numbers. Mention me if you can't and I'll help :)

PART 2: we choose 4 parents from 5 parents.
Thus, 5C4. Which is pretty simple! All you do is take 5*4*3*2 / (4*3*2*1) :) 
Since the answer is pretty obvious, I shall just list it down: 5

There you go! Hope that helped! :)

kropot72 · Answer

http://openstudy.com/study#/updates/51be0066e4b0bb0a435f2380