Answer:
834451800
Step-by-step explanation:
Permutation refers to arrangement of objects such that repetition is not allowed and order matters .
[tex]n_P_r=\frac{n!}{(n-r)!}[/tex]
Combination is all about selecting things from a group of objects such that repetition is allowed and order does not matter.
[tex]n_C_r=\frac{n!}{r!(n-r)!}[/tex]
Here, we need to find how many different 12-member juries can be chosen from a pool of 35 people .
As it's about selection such that repetition is allowed and order does not matter , we will use combination.
Take n = 35 and r = 12 , we get
[tex]\left ( 35 \right )_C_{12}=\frac{35!}{12!(35-12)!}\\\\=\frac{35!}{12!23!}\\\\=834451800[/tex]
