Question

A jury pool consists of 27 people. How many different ways can 11 people be chosen to serve on a jury and one additional person be chosen to serve as the jury foreman?

Answer 1

Answer:

208,606,320

Step-by-step explanation:

A jury pool consists of 27 people. 11 people be chosen to serve on a jury and one additional person be chosen to serve as the jury foreman

Total of 27 people. 11 people can be selected from 27 people in 27C11 ways

$27C11= \frac{27!}{11!(27-11)!} =13037895$

one additional person be chosen to serve as the jury foreman

after selecting 11 people , remaining  is 27 - 11= 16 people

Now 1 is selected from 16 in 16 ways

Number of different ways = $13037895 \cdot 16=208606320$