can someone please explain this problem....
in how many different ways can a 10 question true or false test be answered
2006-09-25 17:20:06 · 3 answers · asked by im quaint 2 in Education & Reference ➔ Homework Help
If there are 10 questions, and each question has 2 possible answers, what is the total number of ways of answering all 10 questions? In other words, how many different combinations of "true" and "false" answers are there?
10 questions, each with 2 possible answers = 10 raised to the second power or 10^2 = 100.
Just to illustrate with a smaller number of possible outcomes, let's say it's a two-question test. The possibilities are:
1. T 2. T
1. F 2. F
1. F 2. T
1. T 2. F
So, 2 questions, each with two possible answers = 2 raised to the second power or 2^2 = 4
Suppose it has three possible answers ("True," "False," "Maybe")
You have 10 questions, each with 3 possible answers = 10 raised to the third power = 10^3 = 1000.
2006-09-25 17:39:57 · answer #1 · answered by toby t 2 · 0⤊ 0⤋
I could give you the answer thats the easy part, setting up the problem to show how you got that answer is what your teacher will want to see........ 1024
2006-09-25 18:09:05 · answer #2 · answered by mongo_wood 3 · 0⤊ 0⤋
It's a probability problem...chances are, you know how to do it. Set up your basic equation and solve.
2006-09-25 17:24:33 · answer #3 · answered by Shaun 4 · 0⤊ 0⤋