A test consists of 4 multiplechoice question each with five

A test consists of 4 multiple-choice question, each with five possible responses, and 6 true / false questions. In how many ways can a studnet answer the questions on the test?

Solution

4 multiple choice questions eac having 5 options:

1st q : 5 , 2nd q : 5 ; 3rd q :5

= 5*5*5*5 = 5^4

6 True false : 2*2*2*2*2*2 =2^6

No. of ways student can answer the questions: 5^4*2^6 = 40000