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Answer:
Step-by-step explanation:
GIVEN: A bibliophile plans to put a total of seven books on her marble shelf. She can choose these seven books from a mixture of works from Antiquity and works on Post-modernism, of which there are seven each.
TO FIND: If the shelf must contain at least four works from Antiquity, and one on Post-Modernism, then how many ways can he select seven books to go on the shelf.
SOLUTION:
Total number of books available
As there must be at least books on Antiquity and
on Post-modernism
Therefore,
when there are Antiquity books and
on Post-modernism.
total ways of selection
when there are Antiquity books and
on Post-modernism.
total ways of selection
when there are Antiquity books on
books on Post-modernism.
total ways of selection
Total ways of selection are
Hence the total ways of selection such that there are at least books on Antiquity and
on Post-modernism.