Question

A jury pool consists of 50 potential jurors and how many ways can a jury of 12 be selected

Answer 1

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

$n_C_r=\frac{n!}{r!(n-r)!}$

Now substitute the values we get

${50}_C_{12}=\frac{50!}{12!(50-12)!}\\ \\ {50}_C_{12}=\frac{50!}{12!38!}\\ \\ {50}_C_{12}=121399651100$

Hence the required number of ways is 121399651100