There are six periods in each working day of the school. In how many ways can one arrange 5 subjects such that each subject is allowed at least one period?

Answer

600

Explanation

Out of 6 periods, 5 may be arranged for 5 subjects in ` ""^(5)P_(5)` ways.
Remaining 1 period may be arranged for anyone of the five subjects in ` ""^(5)P_(1)` ways.
Required number of ways `=(""^(5)P_(5)xx""^(5)P_(1)).`