NIMCET 2008 Question Paper with solutions

TATANAGAR has 9 letters, so number of ways in which two consecutive letters can be printed will be 8 , out of which there are 2 ways in which TA can be printed. Similarly, for CALCUTTA, there are 7 ways of printing two consecutive letters, from which there is only one way. to print 'TA'
Hence, required probability
$=\frac{\frac{1}{7}}{\frac{1}{7}+\frac{2}{8}}=\frac{\frac{1}{7}}{\frac{1}{7}+\frac{1}{4}}=\frac{4}{11}$