There are 6 periods in each working day of a school. The number of ways one can arrange 5 subjects such that each is allowed at least one period, is

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Aicharya · Accepted Answer

First of all we can choose the subject which is to be repeated twice in ${ }^5 C_1$ ways Now 6 subjects with one repeation can be arranged among 6 periods in $\frac{6 !}{2 !}$ Hence, total number of ways ${ }^5 C_1 	imes \frac{6 !}{2 !}=1800$

There are 6 periods in each working day of a school. The number of ways one can arrange 5 subjects such that…

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