What is the difference between the number of possible answers on a five question true-false test and a five -question multiple choice test withfour choices per question
2^5 = 32
4^5 = 2^5*2^5 = 32 * 32 = 1024
To find the difference between the number of possible answers on a five-question true-false test and a five-question multiple choice test with four choices per question, we need to calculate the number of possible answers for each test separately.
In a true-false test, each question can only have two possible answers: true or false. Since there are five questions, the total number of possible answers for a true-false test is 2^5, which equals 32.
On the other hand, in a multiple-choice test with four choices per question, each question can have four possible answers. Since there are five questions, the total number of possible answers for a multiple-choice test is 4^5, which equals 1,024.
To find the difference between these two numbers, we subtract the number of possible answers for the true-false test from the number of possible answers for the multiple-choice test:
1,024 - 32 = 992
Therefore, the difference between the number of possible answers on a five-question true-false test and a five-question multiple choice test with four choices per question is 992.