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!

Guest Apr 24, 2019

#1**+3 **

Formula for picking *r *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.

CalculatorUser Apr 24, 2019