Answer: 5200300
Step-by-step explanation:
Given: Total number of people = 25
The number of member juries can be chosen from a pool of 25 people= 12
To calculate combinations, we use the formula as :-
\(^nC_r = \dfrac{n!}{r!(n-r)!}\), where n represents the total number of items, and r represents the number of things being chosen at a time.
Now, the number of different 12 member juries can be chosen from a pool of 25 people is given by :_
\(^{25}C_{12} = \dfrac{25!}{12!(25-12)!}\\\\=\dfrac{25!}{12!13!}=5200300\)
Hence, the number of different 12 member juries can be chosen from a pool of 25 people is 5200300.
