Solve the problem.
-How many ways are there to choose the answers to a test that consists of seven true-false questions followed by seven multiple-choice questions with four options each?
A) 16,512
B) 117,649
C) 2450
D) 2,097,152

Question

Quizplus · Accepted Answer

For the true-false questions, there are 2 choices for each question, so for 7 questions, there are $2^7 = 128$ ways to answer. For the multiple-choice questions, there are 4 choices for each question, so for 7 questions, there are $4^7 = 16,384$ ways to answer. Multiplying these together gives $128 \times 16,384 = 2,097,152$ ways to choose the answers.

Solve the Problem. -How Many Ways Are There to Choose the Answers to the Answers