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# How many different pair of letters ( , ) can be made from the letters if the word 'STATICS'?

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Case (i) both the letters are (T,T) or (S,S)= 2pairs
Case (ii) The letters may be any two from S,T,A,I,C = $^5C_2=10$ pairs
The order of the letters in the pair can be interchanged in 2 ways.
$\therefore$ The required no. of pairs $=2+2\times 10= 22$