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
Step-by-step 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
[tex]N = ^nC_q[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
[tex]N = ^{30}C_{12}[/tex]
=> [tex]N = 86,493,225[/tex]
