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The number of different 12-member juries that can be chosen from a pool of 45 people can be calculated using the combination formula ( C(n, k) = \frac{n!}{k!(n-k)!} ), where ( n ) is the total number of people and ( k ) is the number of members to choose. For this scenario, it is ( C(45, 12) = \frac{45!}{12!(45-12)!} ). This value can be computed to find the total number of unique juries. The result is 1,264,192,000 different 12-member juries.

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1mo ago

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How many different 12-member juries can be chosen from a pool of 25 people?

The number of different 12-member juries that can be chosen from a pool of 25 people is calculated using the combination formula, which is given by ( \binom{n}{r} = \frac{n!}{r!(n-r)!} ). For this scenario, ( n = 25 ) and ( r = 12 ), so the calculation is ( \binom{25}{12} = \frac{25!}{12! \cdot 13!} ). This results in 5,200,300 different 12-member juries that can be formed.


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