Question

For some civil cases, at least 10 of twelve jurors must agree on a verdict. How many combinations possible on a twelve-person jury?

Answer 1

There are `79` possibilities of choosing the jurors who agree on a verdict.

Explanation:

The statement says that at least 10 judges must agree to the verdict. This means that either 10 or 11 or 12 judges must agree. To choose such group we have to calculate:

`n=C""_12^10+C""_12^11+C""_12^12=((12),(10))+((12),(11))+((12),(12))`

`n=(12!)/(10!*2!)+(12!)/(11!*1!)+(12!)/(12!*0!)`

`n=(11*12)/2+12+1=66+12+1=79`