Question

in a test ,5 questions are in the form of 'state true or false' . No student has got all answers correct. Also every students answer is different.Find number of students.​

Answer 1

Answer:

31 students

Step-by-step explanation:

Since there are 5 questions and each question has two options, therefore total permutations of the true or false options that are possible are

$=2\times 2\times 2\times 2\times 2\times 2$

$=2^5$

$=32$

Out of these 32 possibilities, one is the correct one

But no students has got a correct answer

Therefore, the number of students that must have taken the test

$=32-1$

$=31$

Therefore, there are 31 students.

Hope this helps.

Answer 2

Answer:

31

Step-by-step explanation:

Since there are 5 questions and each question has two options, therefore total possible ways are:

2*2*2*2*2=2^5=32

Out of them one can be correct

But given no one has got all answers correct

Hence no. of students

= 32 - 1

=31