A professor writes 35 true/false discrete mathematics questions. The answer to 14 of these are true. How many different answer keys are possible
- a) if the questions can be in any order?
- b) if every true statement is immediately followed by a false statement?
For the part a), I know it is simply ${35 \choose 14}$. I am having trouble with part b), where if every true statement is followed by false.
Pair every true with its following false and make a list of the $7$ false answers and the $14$ true/false answers