There are 10 books on a shelf , of which 4 are paperbacks and 6 are hardbacks . How many possible selections of 5 books from the shelf contain at least one paperback and at least one hardback?

A 75
B 120
C 210
D 246

Correct Answer: 246

Choosing ways where all 5 are of one kind and subtracting from all ways... total ways - 10C5 all one of a kind - 6C5 total selections = 10!/5!5!−6!/5!1! = 246
Bissoy MCQ
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