Question: On a shelf there are 4 books on Economics, 3 books on Management and 4 books on Statistics. In how many different ways can the books be arranged so that the books on Economics are kept together?
[Punjab and Sind Bank (PO) 2011]
Options:
A) 967680
B) 120960
C) 5040
D) 40320
E) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
- The 4 books on Economics can be arranged in 4! ways. Considering these 4 books of Economics as one book. The other $ (3+4+1)=8 $ books can be arranged in 8! ways.
$ \therefore $ Total number of ways $ =8!,\times 4! $
$ =40320\times 24=967680 $