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A teacher has made ten statements for a True-False test. Four statements are true and six are false. How many distinct answer keys could there be for the test?

Logic  Oct 19, 2018
 #1
avatar+90968 
+1

This is the same  as counting the number of  identifiable"words" that can be formed with  four "T's"  and six "F's"

 

So

 

[ Total Letters ! ] / [ Repeats of T !    x    Repeats of F  ! ]  =

 

10!  / [ 4! *  6! [  =  

 

210 distinct answer keys

 

 

cool cool cool

CPhill  Oct 19, 2018

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