An exam consists of 12 true and false questions in how many

An exam consists of 12 true and false questions in how many ways win can the exam be complited if leaving the questions blank is an option.

Solution

There are 3 ways of answering each question i.e. either true or false or blank

Hence for 1 question no of ways of answering = 3

Each question answer is independent

Hence 3x3x...12 times

For 12 questions no of ways of answering = 3¹²