Consider a office having seating capacity of 58 employees and all of them are to be seated in such a way that an employee can sit on any available vacant seat. What will be the degree of freedom?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 57
The first 57 employees are free to choose any vacant seat. When they have sat down, only one seat is left, so the 58th employee has no choice.
The number of free choices is
\( 58-1=57 \)
This is the idea of degrees of freedom: with n values under one restriction (here, all 58 seats must be filled), n − 1 values can vary freely.
CBSE Applied Mathematics (Class XII):
Degrees of Freedom
