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Q.

A man parks his car among n cars standing in a row, not at either of the ends, on his return he finds that exactly m of the n cars are still there, probability that both the cars parked on two sides of his car, have left is (nm)(nm1)(nA)(nB) then A+B is 

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answer is 3.

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Detailed Solution

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Number of ways in which remaining 'm1' cars can take their places
      (excluding the car of man)  =n1Cm1
       No.of ways in which remaining (m1) cars can take places keeping the two places on two sides of his car vacant  =n3Cm1
Prob = n3Cm1 n1Cm1=(nm)(nm1)(n1)(n2)
A=1      B=2      A+B=3

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