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

natka813 [3]

3 years ago

9

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 exactly 8 correct answers of false?

Mathematics

1 answer:

stiv31 [10] · Answer 1 · 2022-02-20T04:38:19+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