Complete Question
A panel of 12 jurors needs to be selected from a group of 30 people. How many different compositions for the jury are possible?
A. 479,001, 600.
B. 18, 564.
C. 41, 430, 393, 164, 160,000.
D. 86, 493, 225.
Answer:
The correct option is D
Explanation:
From the question we are told that
The number of jurors to be selected is q = 12
The total number of people available n = 30
Generally the number of different compositions for the jury that is possible is mathematically represented as
![N = ^nC_q](https://img.qammunity.org/2021/formulas/mathematics/college/n98mzsftycefsdtadbhx03f917i3y5fkkr.png)
Here C stands for combination hence we are going to be making use of the combination function in our calculators
![N = ^(30)C_(12)](https://img.qammunity.org/2021/formulas/mathematics/college/hl97lon5oq4m6eo0xdfg1cumroiv88i3bn.png)
=>
![N = 86,493,225](https://img.qammunity.org/2021/formulas/mathematics/college/r4uz4f4qu22hukei7hlrc2sekphm5h7jcr.png)