Question

There are six period on each working day of a school. The number of ways one can arrange 5 subjects such that each subject is allotted atleast one period.

• A. 36
• B. 360
• C. 3600
• D. 1800

Answer 1

The correct option is C 3600

Number of ways 5 subjects can be placed in six blank spaces ${=}^6{P}_5$
Remaining blank can be filled with one of the 5 subjects i.e., in 5 ways. $\therefore$ required number of ways
$={5.}^6{P}_5=5.\angle 6=5\times 720=3600$