The problem involves a test consisting of 15 true/false questions, where participants are exploring the number of ways a student can mark the paper, specifically addressing scenarios where all questions are answered versus one question is left unanswered.
Some participants have provided guidance on the calculations, noting the correct approach for determining the number of ways to leave one question unanswered. There is acknowledgment of incorrect initial attempts, and a clarification of the reasoning behind the choices made in the calculations.
Participants are working within the constraints of a homework assignment, which may limit the information available for discussion. There is an emphasis on understanding the problem setup and the implications of the choices made in the calculations.
mishima said:Homework Statement
If a test consists of 15 true false questions, in how many ways can a student mark his paper if:
a) he answers each question
b) he leaves anyone question unanswered.
Homework Equations
Multiplication of choices
The Attempt at a Solution
a) 2^15 Correct.
b) 3*(2^14) Incorrect. (right answer = 245,760)
One question has 3 choices, the rest have 2?