Question

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

Answer 1

A formula for the number of possible combinations or r objects from a set of n objects is

`nCr = (n!)/(r!(n-r)!)`
where n is 25 and r is 12. The number of ways is 5,200,300.

Answer 2

Answer: 5200300

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 = (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) = (25!)/(12!(25-12)!)\\\\=(25!)/(12!13!)=5200300`

Hence, the number of different 12 member juries can be chosen from a pool of 25 people is 5200300.