Asked by steve
a multiple choice test has 8 questions with 4 possible answers for each question. if a student were to guess the answer to each question how many different ways would there be to answer the test
A. 32
B. 4
C. 65 536
D. 4 096
A. 32
B. 4
C. 65 536
D. 4 096
Answers
Answered by
Reiny
the first can be answered in 4 ways
for each of those, the 2nd can be answered in 4 ways,
so far 4x4 or 16
for each of those 16, the 3rd can be answered in 4 ways,
so far 4x4x4 = 64
...
number of ways = 4^8 or 65635 ways
for each of those, the 2nd can be answered in 4 ways,
so far 4x4 or 16
for each of those 16, the 3rd can be answered in 4 ways,
so far 4x4x4 = 64
...
number of ways = 4^8 or 65635 ways