SOLUTION: A multiple choice test has 5 questions. Each question has 1 answer, either a, b, or c. a.) In how many different ways can the 5 questions be answered? b.) If 3 questions must b

Algebra.Com
Question 1127576: A multiple choice test has 5 questions. Each question has 1 answer, either a, b, or c.
a.) In how many different ways can the 5 questions be answered?
b.) If 3 questions must be answered with a , and 2 questions must be answered with b, how many ways can the questions be answered?

Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
3 choices for each
3^5=243 ways it can be answered.
5C3=10 ways to answer using a
once those 10 are chosen, the others are b and are fixed.
10 ways

RELATED QUESTIONS

You are taking a quiz that has 8 multiple-choice questions. If each question has 5... (answered by ikleyn)
In how many different ways can you answer a multiple choice test that has 5 questions and (answered by stanbon)
A test has 5 multiple choice questions, each with 4 responses. How many different ways... (answered by vheroli)
if a multiple choice test has 7 questions and each has 5 answers, how many ways can i... (answered by ewatrrr)
A multiple-choice test has 5 questions, with 4 possible answers for each question.... (answered by stanbon)
If a multiple-choice test consists of 5 questions each with 4 possible answers of which... (answered by stanbon)
Please help solve Thanks Each question on a five-question multiple choice quiz has... (answered by sudhanshu_kmr)
A multiple choice test consists of 5 questions, each with 4 possible answers of which... (answered by ikleyn)
PLEASE HELP! A test has 15 true-false questions, then a choice of either completing 5... (answered by josmiceli)