In how many ways can you answer the questions on an exam that consists of 8 multiple choice questions, each of which has 4 answer choices, followed by 5 true-false questions?
A) 2,097,152
B) 2,221,982
C) 2,084,702
D) 2,680,257

Question

Quizplus · Accepted Answer

For the multiple choice questions, since there are 8 questions each with 4 options, the number of ways to answer them is $4^8$. For the true/false questions, since there are 5 questions each with 2 options, the number of ways to answer them is $2^5$. Therefore, the total number of ways to answer all questions is $4^8 \times 2^5 = 65,536 \times 32 = 2,097,152$.

In How Many Ways Can You Answer the Questions on an Exam