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1 vote
Twenty people report for jury duty. How many different 12 perosn juries can be chosen

1 Answer

2 votes

Answer:

125,970

Explanation:

Even if jury are assigned numbers, the order in which they are picked has no importance. That means that it's a combination, not a permutation.

The formula to calculate possible combinations is:


C(n,r) = (n!)/((r! (n-r)!))

Where n is the global population, and r is the number of selected items.

In our case, n = 20 and r = 12, so...


C(20,12) = (20!)/((12! (20-12)!)) = 125970

There are 125970 different ways to select 12 jury members out of 20 people.

User Bhumeshwer Katre
by
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