SOLUTION: Dr. Smith is preparing a quiz for his Math class. The quiz contains 6 true/false questions and 7 multiple choice questions with 4 choices each. In how many ways can the 6 true/f

Algebra ->  Permutations -> SOLUTION: Dr. Smith is preparing a quiz for his Math class. The quiz contains 6 true/false questions and 7 multiple choice questions with 4 choices each. In how many ways can the 6 true/f      Log On


   



Question 1166200: Dr. Smith is preparing a quiz for his Math class. The quiz contains 6 true/false questions and 7 multiple choice questions with 4 choices each.
In how many ways can the 6 true/false questions be answered?

In how many ways can the 7 multiple choice questions be answered?

In how many ways can all of the questions be answered?

Answer by ikleyn(52778) About Me  (Show Source):
You can put this solution on YOUR website!
.
Dr. Smith is preparing a quiz for his Math class. The quiz contains 6 true/false questions and 7 multiple choice questions with 4 choices each.


(a)  In how many ways can the 6 true/false questions be answered? 

         In  2%5E6 = 64 different ways.



(b)  In how many ways can the 7 multiple choice questions be answered? 

         In  4%5E7 = 16384 different ways.



(c)  In how many ways can all of the questions be answered?

         In  2%5E6%2A4%5E7 = 64*16384 = 1048576  different ways.

Solved.     //   All question are answered.