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There are 3 books on mathematics 4 on physics and 5 on english .How many different collections can be made such that each collections consists of : Atleast one book of each subject

$\begin{array}{1 1}(A)\;3055\\(B)\;3155\\(C)\;3355\\(D)\;3255\end{array} $

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No of ways of choosing at least one book of each subject =$(2^3-1)\times (2^4-1)\times (2^5-1)$
$\Rightarrow 7\times 15\times 31$
$\Rightarrow 3255$ ways
Hence (D) is the correct answer.
answered May 19, 2014 by sreemathi.v

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