Question

If there are 6 periods in each working day of a school, in how many ways can 1 arrange 5 subjects such that each subject is allowed at least 1 period?

• A. 3500
• B. 3600
• C. 3550
• D. 3650
• E. None of these

Answer 1

Answer: (B)

Let the subjects be A,B,C,D,E

Now we need to repeat atleast one subject. Let say A is repeated.

Now A A B C D E can arranged in 6!/ 2! = 360 ways
Now the repeated subject be any one of the five subjects.

Thus total ways of arrangement is 360 x 5 = 1800 ways