Question

A test consists of 15 questions. Ten are true-false questions, and five are questions that have four choices each. A student must select an answer for each question. In how many ways can this be done? (Assuming the student was not wise enough to study) (5 pt) multiple-choice A company has hired 15 new employees, and must assign 6 to the day shift, 5 to the graveyard shift, and 4 to the night shift. In how many ways can the assignment be made?

Answer 1

There are 1,048,576 ways the student can select an answer for each question.

Step-by-step explanation:

To find the number of ways the student can select an answer for each question, we need to consider each type of question separately.

For the true-false questions, there are 2 choices for each question (true or false). Since there are 10 true-false questions, the total number of ways to answer them is 2 raised to the power of 10 (2^10) which is 1024.

For the multiple choice questions, there are 4 choices for each question. Since there are 5 multiple choice questions, the total number of ways to answer them is 4 raised to the power of 5 (4^5) which is 1024.

Therefore, the total number of ways the student can select an answer for each question is 1024 x 1024 = 1,048,576 ways.