There are 4 periods in each working day of a school. In how many ways can one organize 3 subjects such that each subject is allowed at least one period?  Choose the correct option:
A) 32
B) 36
C) 24
D) 34
E) None of these
3 subjects can be arranged in 4 periods in 4P3 ways.   Remaining 1 period can be arranged in 3P1 ways.   Two subjects are alike in each of the arrangement. So we need to divide by 2! to avoid overcounting.   Total number of arrangements = (4p3 x 3P1)/2! = 36   ANSWER:36
<result>B</result>
There are 4 periods in each working day of a school. In how many ways can one organize 3 subjects such that each subject is allowed at least one period?