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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?


just hints please, thanks!

 Apr 24, 2019

Formula for picking items from n set: \(\frac{n!}{r!(n-r)!}\)


Since you are trying to find the combinations for a ten question test with 4 true and 6 false, you can just think it as picking 4 items from a set of 10 or picking 6 items from a set of 10.


Note: There are the same amount of combinations picking 4 items from a set of 10 is the same thing as picking 6 items from a set of 10



Now use the formula.

 Apr 24, 2019
edited by CalculatorUser  Apr 24, 2019

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