The Number of ways in which five different books to be distributed ...

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The Number of ways in which five different books to be distributed among 3 persons so that each person gets at least one book, is also equal to the number of ways in which
\( \mathrm{P} \)
(A) 5 persons are allotted 3 different residential flats so that and each person is alloted at most one flat and no two persons are alloted the same flat.
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(B) number of parallelograms (some of which may be overlapping) formed by one set of 6 parallel lines and other set of 5 parallel lines that goes in other direction.
(C) 5 different toys are to be distributed among 3 children, so that each child gets at least one toy.
- (D) 3 mathematics professors are assigned five different lecturers to be delivered , so that each professor gets at least one lecturer.
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