Solution:
we are given that
A jury pool consists of 50 potential jurors.
Wee have been asked to find the number of ways can a jury of 12 be selected.
As we know from the concept of combination that r person can be selected out of n in ncr ways. where
[tex] n_C_r=\frac{n!}{r!(n-r)!} [/tex]
Now substitute the values we get
[tex] {50}_C_{12}=\frac{50!}{12!(50-12)!}\\
\\
{50}_C_{12}=\frac{50!}{12!38!}\\
\\
{50}_C_{12}=121399651100\\ [/tex]
Hence the required number of ways is 121399651100
