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Q.

If there are 6 periods in each working day of a school, then the number of ways that you can arrange 5 subjects during the working day is

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a

600

b

720

c

1325

d

1800

answer is C.

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Detailed Solution

Since there are 6 periods and 5 subjects in each working day, one subject must be repeated. This subject can be selected from the five subjects in  5C1=5 ways. In each section there are 6 subjects in which one subject repeated 2 times. These can be arranged in 6!2!=7202=360way  
 The number of required arrangements =5×360=1800 

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