How many ways can someone answer a test with 10 questions, where the first 2 are false, OR the last 3 questions are true.
I take it there are questions that have either true or false answers. Since each question can be answered in either of ways, the number of different ways of answering all is .
What do you mean 'the first are false'? Do we know those answers to be false and have to find combinations of true/false answers to the other ? (In which case there are possibilities.)
Can you clarify the question please?