If there are six periods in each working day of a school in how many ways can one arrange 5 subjects...........

Quantitative Aptitude ( CCS) Permutation & Combination

If there are six periods in each working day of a school, in how many ways can one arrange 5 subjects such that each subject is allowed at least one period?

3500

1800

3550

3650

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Explanation:

Alternatively this can be derived using the following approach.
5 subjects can be selected in 5C5 ways.
Remaining 1 subject can be selected in 5C1 ways.
These 6 subjects can be arranged themselves in 6! ways.
Since two subjects are same, we need to divide by 2!
Total number of arrangements = (5C5 × 5C1 × 6!)/2! = 1800