COMEDK · Maths · 4. Permutation Combination
On each working day of a school there are six periods. The number of ways in which five subjects are arranged if each subject is allotted at least one period and no period remains vacant is
- A 210
- B 1800
- C 360
- D 120
Answer & Solution
Correct Answer
(B) 1800
Step-by-step Solution
Detailed explanation
There are 6 periods and 5 subjects. Each subject must be allotted at least one period. Since there are 6 periods and 5 subjects, exactly one subject must be allotted two periods, and the remaining four subjects must be allotted one period each. First, choose the subject that…
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