If there are where multiple-choice questions on an exam, each having four possible answers, how many different sequences of answers are there?
Solution:-
If any one of k different mutually exclusive and collectively exhaustive events can occur on each of n trials, the number of possible outcomes is equal to kn.
The four possible answers to each multiple-choice question are mutually exclusive and collectively exhaustive. There are twelve questions.
K = 4 and n = 12
Substitute 4 for k and 12 for n in the expression kn and simplify.
kn = 412
=16777216
There are 16777216 different square of answers.