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Home  >>  CBSE XI  >>  Math  >>  Permutations and Combinations

Is $3!+4!=7!$

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  • $n!=n(n-1)(n-2)......(3)(2)(1)$
$3!=3\times 2\times 1$
$\;\;\;\;=6$
$4!=4\times 3\times 2\times 1$
$\;\;\;\;=24$
$7!=7\times 6\times 5\times 4\times 3\times 2\times 1$
$\;\;\;\;=5040$
$\Rightarrow LHS=3!+4!$
$\Rightarrow 6+24$
$\Rightarrow 30$
RHS=5040
$\Rightarrow 3!+4!\neq 7!$
$\Rightarrow LHS\neq RHS$
answered May 13, 2014 by sreemathi.v
 
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