How many ways are there to answer a 10-question true/false test, where at least 3 of the questions have been answered with a false?
+134 Total ways to answer 10 true or false questions = 2^10 = 1024
Let False =F, True = T, and C(n,r) means combination of r objects out of n objects.
Required ways = Total ways - 1F . 9T - 2F . 8T
= 1024 - C ( 10,1) - C ( 10,2)
= 1024 - 10 - 45 = 969 is the required answer
