Question

For a set of 5 true/false questions, no student has written all correct answers and no two 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

Answer:

31

Step-by-step explanation:

Hi,

Given that there are set of 5 true/false questions,

So , there are 2 different ways of choosing an answer

for each question,

For set of 5 questions, total number of ways of choosing

answers will be 2*2*2*2*2 = 2⁵ = 32, since each question can be

answered in 2 different ways.

But, among the 32 possible ways of answering only

1 particular sequence of answers is correct,

So , number of incorrect sequences of answers are 31.

Since no student has answered all correct answers,

and no two students have given same sequence of answers,

Maximum number of students that can be possible is 31 .

Hope, it helps !

Answer 2

2*2*2*2*2=2 power 5 =32

in this only one is correct sequence

so, 32-1 ( correct sequence) = 31