There are 10 true-false questions in an examination. These questions can be answered in ________.

Question

Accepted Answer

{"content":[{"content":[{"marks":[{"type":"bold"}],"text":"Step 1 (Fundamental Counting Principle):","type":"text"},{"text":" Each of the true-false questions has exactly 2 possible answers (either True or False).","type":"text"}],"type":"paragraph"},{"content":[{"text":"Step 2 (Calculations):","type":"text","marks":[{"type":"bold"}]},{"text":" Since there are 10 questions and the choice of answer for each question is independent, we multiply the number of choices for each question:","type":"text"}],"type":"paragraph"},{"attrs":{"latex":"\text{Total ways} = 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 2^{10}"},"type":"math_block"},{"attrs":{"latex":"2^{10} = 1024"},"type":"math_block"},{"type":"paragraph","content":[{"text":"Step 3 (Conclusion):","type":"text","marks":[{"type":"bold"}]},{"text":" There are ","type":"text"},{"attrs":{"latex":"1024"},"type":"math_inline"},{"text":" distinct ways to answer the 10 questions.","type":"text"}]}],"type":"doc"}

Guide / Hint

Solution