If two different numbers are taken from the s | vedclass

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Question

Let $A \equiv \{ 0,1,2,3,4, \ldots ..,10\} $

${\rm{n}}({\rm{S}}) = {\,^{11}}{{\rm{C}}_2} = 55$ where $'S'$ denotes sample space

Let $\ma

Vedclass · Accepted Answer

$\frac{6}{{55}}$

Vedclass · Answer

Let $A \equiv \{ 0,1,2,3,4, \ldots ..,10\} $

${m{n}}({m{S}}) = {\,^{11}}{{m{C}}_2} = 55$ where $'S'$ denotes sample space

Let $\mathrm{E}$ be the given event

$	herefore {m{E}} \equiv \{ (0,4),(0,8),(2,6),(2,10),(4,8),(6,10)\} $

$\Rightarrow \mathrm{n}(\mathrm{E})=6$

$	herefore P(E)=\frac{n(E)}{n(S)}=\frac{6}{55}$

If two different numbers are taken from the set $\left\{ {0,1,2,3, \ldots ,10} \right\}$, then the probability that their sum as well as absolute difference are both multiple of $4$, is

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