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Two finite sets have m and `n ( m gt n)` elements .The number of subes of the first set is 112 more than that of the second set. The value of mn isA. 18B. 28C. 32D. 36 |
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Answer» Correct Answer - B According to the question `2^m-2^m= 112 ` `rArr 2^n (2^(m-n)-1)= 2^4 xx 7` Comparing exponets on both sides ,we get `2^n-2^4 and 2^(m-n)-1= 7 ` Now ,`2^n= 2^4` `rArr n=4` And `2^(m-n)=8` `rArr 2^(m-n)=2^3` `rArr m-n =3` `therefore m=7` |
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