A question paper has 5 multiple choice questions. Each question has 2 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the 10 answers correct? Choose the correct choice:	A) 19	B) 85	C) 120	D) 624	E) 1024
A candidate can answer the test in 2^5 number of ways (each question has 2 choices and we have total of 5 questions). Now, out of these cases there will be only one case when the candidate answered all the 5 questions correct. Therefore the total number of ways in which a candidate will NOT get all the four answers correct is 5^4-1=624.   Answer: D.
<result>E</result>
A question paper has 5 multiple choice questions. Each question has 2 choices with only one choice as the correct answer. What is the total number of ways in which a candidate will not get all the 10 answers correct?