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] |
A) 967680
B) 120960
C) 5040
D) 40320
E) None of these
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 \[=8!\,\times 4!\] |
\[=40320\times 24=967680\] |
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