SOLUTION: There are 12 students fro whom 5 are going to be chosen to represent their school at a conference. If Jack, Anna, or Chris, but only one of them, must be chosen, in how many ways c

Question 344857: There are 12 students fro whom 5 are going to be chosen to represent their school at a conference. If Jack, Anna, or Chris, but only one of them, must be chosen, in how many ways can the students be chosen to go to the conference?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
There are 12 students from whom 5 are going to be chosen to represent their school at a conference. If Jack, Anna, or Chris, but only one of them, must be chosen, in how many ways can the students be chosen to go to the conference?
----
# of ways to pick 1 of Jack, Anna, or Chris: 3 ways
# of ways to pick 4 of 9: 9C4
----
# of ways to pick 5 of 12 randomly: 12C5
-----
Probability = [3*9C4]/12C5 = 0.4773
=======================================
Cheers,
Stan H.

RELATED QUESTIONS
There are 10 students from whom 4 are going to be chosen to represent their club at a... (answered by Edwin McCravy)

Determine whether the following are permutations or combinations? 1. Assigning... (answered by jim_thompson5910)

At a certain high school, the Prom Committee is going to choose new members. There are 7... (answered by ikleyn)

Five students are equally qualified to represent their schoolat an awards ceremony. Two... (answered by stanbon)

In how many ways can 4 people be chosen and arranged in a straight line, if there are 12... (answered by addingup)

In how many ways can 4 people be chosen and arranged in a straight line, if there are 12... (answered by ikleyn)

A small class has 9 students, 6 of whom are girls and 3 of whom are boys. The teacher is... (answered by math_tutor2020)

In how many ways can 5 people be chosen and arranged in a straight line, if there are... (answered by richwmiller)

A school's debate club has 9 members. A team of 4 students will be chosen to represent... (answered by ewatrrr)