Question 1200365
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Answer: Approximately <font color=red>0.00001128468024</font>
Round however you need to, or however your teacher instructs.



Explanation:


You'll need a calculator that has the nCr combination function on it.


Here is a free online alternative
https://www.omnicalculator.com/statistics/combination
Ignore the "combinations with repetitions" portion. For this problem, repetitions aren't allowed.


Using a calculator like that will show...<ul><li>17C12 = 6,188 different ways to get a jury of all men</li><li>34C12 = 548,354,040 different ways to get a jury (men and/or women)</li></ul>Divide the two results:
6188/548354040 = <font color=red>0.00001128468024</font>


Extra info:
The nCr combination formula is
nCr = (n!)/(r!(n-r)!)
The exclamation marks indicate factorial.


Example calculation:
n C r = (n!)/(r!(n-r)!)
17 C 12 = (17!)/(12!*(17-12)!)
17 C 12 = (17!)/(12!*5!)
17 C 12 = (17*16*15*14*13*12!)/(12!*5!)
17 C 12 = (17*16*15*14*13)/(5!)
17 C 12 = (17*16*15*14*13)/(5*4*3*2*1)
17 C 12 = (742560)/(120)
17 C 12 = 6188
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