Question

A panel of 12 jurors needs to be selected from a group of 28 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 1

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`

Here C stands for combination hence we are going to be making use of the combination function in our calculators

`N = ^(30)C_(12)`

=>
`N = 86,493,225`