Question

For a set of 5 true - false questions , no student has written the all-correct answers, and no 2 students have given the same sequence of answers. What is the maximum number of students in the class , for this to be possible?

Answer 1

i think ur answer should be 10 or 5

Answer 2

Answer:

31

Step-by-step explanation:

Solution. Question I can be answered in 2 ways.

Question II can be answered in 2 ways.

Similarly, each of Question III, IV, V can be answered in 2 ways.

Hence, total number of possible different answers = 2 x 2 x 2x 2x 2=32

There is only one sequence of all correct answers.

Thus the total number of sequences are

32- 1=31

[Since no student has written all correct answers]

Now as no two students have given the same sequence of answers, hence the maximum number of students in the class = 31.