There are 7 periods in each working day of a college. In how many ways can one organize 6 subjects such that each subject is allowed at least one period? A) 33200 B) 15120 C) 10800 D) 43600

1 Answer

Answer :

Answer: B)

 6 subjects can be arranged in periods in 7P6 ways.

 Remaining 1 period can be arranged in 6P1 ways.

 Two subjects are alike in each of the arrangement. So we need to divide by 2! to avoid over counting.

 Total number of arrangements = (7P6 x

6P1)/2!

 = 5040 × 6 / 2

= 30240 / 2

= 15120

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