Rafael is taking a test that contains a section of 12 true-false questions. How many of the possible groups of answers to these

Question

posledela

3 years ago

8

Rafael is taking a test that contains a section of 12 true-false questions. How many of the possible groups of answers to these

questions have at least 6 correct answers of true?

Mathematics

1 answer:

Klio2033 [76] · Answer 1 · 2022-05-10T17:31:44+03:00

Answer: There are 495 possible different sets of answers the could contain exactly 8 correct answers of false.

Basically, we are looking for the number of different ways of selecting 8 objects out of a set of 12 objects. Our objects are answers of false and the set is the test.

This is a combination problem. The formula would be:

12! / (8! x 4!) = 495