an online quiz is made of 10 multiple choice questions. each question on the quiz has choices a,b, or c. how many different ways are there to complete the quiz answering all 10 questions.
each question can be answered in 4 different ways,
so number of ways to answer
= 4x4x4...x4 (10 times)
= 4^10
= ...
To calculate the total number of different ways to complete the quiz, we can consider each question as an independent event. Since each question has three choices (a, b, or c), we have three options for each question.
To find the total number of different ways to complete all 10 questions, we need to multiply the number of options for each question together. Since there are 10 questions, and each question has 3 options, we can calculate it as:
3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 = 3^10
So, there are 3^10 (3 raised to the power of 10) different ways to complete the quiz, answering all 10 questions.
Using exponential notation, we can simplify this calculation as:
3^10 = 59,049
Therefore, there are 59,049 different ways to complete the quiz, answering all 10 questions.