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Q.

Consider the follow lists .

Consider all possible permutations of the letters of the word MASTERBLASTERS

 Column – I Column – II
i)The number of permutations containing  the word RAAT isp)7!23!×2!4
ii)The number of permutations in which S occurs in first place and R occurs in last place isq)11!×4!3!×2!2
iii)The number of permutations in which none of the letters S,T,R occurs in first 7 positionsr)11!3!×2!
iv)The number of permutations in which the letters A,S,R occurs in even positions is α then α7! iss)12!2!4
  t)7!3!2!4

 

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a

IS,IIR,IIIT,IVP

b

IR,IIS,IIIP,IVT

c

IT,IIP,IIIS,IVR

d

IP,IIQ,IIIR,IVT

answer is B.

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Detailed Solution

I ) 11!3!2!

II ) 12!2!4

III) 7!2!2!×7!3!2!2!=7!23!2!4

IV ) α=7!23!2!4 then  α7!=7!3!2!4

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