If \( A= \) the set of letters in the word 'JAIPUR' and \( B= \) th...

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If \( A= \) the set of letters in the word 'JAIPUR' and \( B= \) the set of letters in the word 'JODHPUR',
verify the following results :
\[
n(\mathrm{~A} \cup \mathrm{B})=n(\mathrm{~A})+n(\mathrm{~B})-n(\mathrm{~A} \cap \mathrm{B})
\]
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